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1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

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Presentation on theme: "1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line."— Presentation transcript:

1 1.5 Solving Inequalities

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4 Write each inequality using interval notation, and illustrate each inequality using the real number line.

5 Write each interval as an inequality, and illustrate each inequality using the real number line.

6 Solving Inequalities 1.Eliminate all fractions by multiplying LCM 2.Use the Distributive Property 3.Combine all like terms 4.Isolate the variable term 5.Divide (Negative – Change Inequality Sign) 6.Write your solution in Interval Notation 7.Graph the inequality on a number line

7 Solving Inequalities Reciprocal Property

8 Solve each inequality, and express your answer using interval notation. Graph each inequality using the real number line.

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10 1.6 Absolute Value Equations and Inequalities

11 Absolute Value Equations

12 1.Isolate the absolute value expression 2.Rewrite the absolute value equation as two separate equations 3.One positive and the other negative 4.Solve each equation and check Absolute Value Equations

13 Solve each equation for the given variable

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15 1. Isolate the absolute value expression 2. Write the absolute value inequality as an equivalent conjunction or disjunction 3. Conjunction ( < or < ) AND 4. Disjunction ( > or > ) OR 5. Solve each inequality and graph Absolute Value Inequalities

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17 Solve each equation for the given variable


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