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**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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**Copy this table into your notes.**

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

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**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

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**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

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**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?

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**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?

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**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?

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**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

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**Solving One- Step Inequalities**

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Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l -2 -1 0 1 2 3 -5 -4 -3 -2 -1 0.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l -2 -1 0 1 2 3 -5 -4 -3 -2 -1 0.

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