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

Math sentences containing 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?) 3 -2 7 9

Graphing Inequalities Circle the number ≤ , ≥ , = use filled in circle < , > use empty circle Shade in number line for solutions Arrows point to which way to shade

Graph x < 2 on a number line. Example Graph x < 2 on a number line.

Graph x ≥ -3 on a number line. Example Graph x ≥ -3 on a number line.

Graph x ≤ 6 on a number line. Example Graph x ≤ 6 on a number line.

Graph x > 0 on a number line. Example Graph x > 0 on a number line.

Practice Pg 173 #1-20 all