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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ )

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line.

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 1 : Graph the set Draw a number line… 0 -2 24 6 8

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 1 : Graph the set Graph your values either ON the line… 0 -2 24 6 8

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 1 : Graph the set Graph your values either ON the line…or above… 0 -2 24 6 8

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 2 : Graph the set 0 -2 24 6 8 Draw a number line…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 2 : Graph the set 0 -2 24 6 8 Graph your values either ON the line…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) Graphing a specific set of values on number line is easy, just place a CLOSED dot either above the value, or right on the number line. EXAMPLE # 2 : Graph the set 0 -2 24 6 8 Graph your values either ON the line…or above…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 1 : Graph Draw a number line… 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 1 : Graph Use an open circle and graph the point above the line… 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 1 : Graph Draw an arrow extending from the point in the same direction as the inequality… 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 2 : Graph - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 2 : Graph - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does First, get your variable on the left and the solution on the right and flip your inequality,,, Notice how the inequality points at 4 in both cases…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 2 : Graph 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does Draw a number line…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 2 : Graph 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does Use a closed circle and graph the point above the line…

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Linear Equations, Inequalities, and Absolute Value - Graphing Solution Sets On a Number Line As we saw with the absolute value equations, we could get answers that are sets of values ( more than one ). When we are asked to graph these sets of values, there are a few types to consider : 1. Specific values in set brackets 2. Solutions defined by an inequality. ( >, <, ≥, ≤ ) EXAMPLE # 2 : Graph 0 -2 24 6 8 - if you have > or < symbol, use an OPEN circle - If you have ≥ or ≤ symbol, use a closed circle - always have your variable on the left and then your graph will point the same way the inequality does Draw an arrow extending from the point in the same direction as the inequality…

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