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.

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

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 1.999999? 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