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# Solving One-Step Inequalities

## Presentation on theme: "Solving One-Step Inequalities"— Presentation transcript:

Solving One-Step Inequalities
Inequality- mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts. Solution Set- the set of values that make the inequality true.

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Symbol Meaning Graph < Less than Open circle > Greater than Less than or equal to Closed circle Greater than or equal to

This is why we use an open circle when we graph the inequality
Let’s think ……… What is less than 2 ….. X < 2? 1,0,-1,-2,-3… What about… ½ or ? Is 2 less than 2? This is why we use an open circle when we graph the inequality x< 2

The arrow tells us that everything to the left of 2 is included
The open circle tells us that 2 is not included The arrow tells us that everything to the left of 2 is included

Where do we put the circle ?
Graph x > 2 Where do we put the circle ? In which direction does the arrow go? Think…what could you plug in for x that is greater than 2?

What about x ≤ 2 ……is 2 ≤ 2 Which way does the arrow go?
This is why we graph with a closed circle. The closed circle tells us that 2 is included. Which way does the arrow go?

Where do we put the circle ?
What about x ≥ 2 ……is 2 ≥ 2 Where do we put the circle ? Which way does the arrow go?

Your Turn x > 8 x< 7 x ≤ 4 x ≥ -3 x < -5 x ≤ 6
Write the inequality above the number line. Graph the inequality. x > 8 x< 7 x ≤ 4 x ≥ -3 x < -5 x ≤ 6

Solving One- Step Inequalities

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