# Bell Ringer • • • • • • • Bell Ringer Use the < and > symbols to complete the inequality. 5 ___ 2 10 ____ -10 -6 _____ -9 -16 ______ 12 27 _______ -3 19 _____ -7

4.1 Inequalities and Their Graphs

Inequalities Math sentences containing

## < , > , ≤ , ≥

< “is less than” > “is greater than” ≤ “ is less than or equal to” ≥ “is greater than or equal to”

Example Determine whether each number is a solution of x ≥ 5. (Is it true?) 5 12 - 7

Example Determine whether each number is a solution of x < 3. (Is it true?) 2 0 15 3

Example Determine whether each number is a solution of x ≤ 7. (Is it true?) 7 9 3 -2

Graphing Inequalities 1. Circle the number ≤ , ≥ , = use filled in circle < , > use empty circle 2. Shade in number line for solutions

Arrows point to which way to shade

Example Graph x < 2 on a number line.

-5 0 5

Example Graph x ≥ -3 on a number line.

-5 0 5

Example Graph x ≤ 6 on a number line.

-5 0 5

Example Graph x > 0 on a number line.

-5 0 5

Practice • Pg 173 #1-20 all