> Inequalities < ≥ ≤ Solving Absolute Value Inequalities | X |

Let’s Review GRAPH SIGN DEFINE / KEY WORD |X| > OR |X| < AND

Absolute Value Inequalities You can think of the absolute value of a real number as the answer to the question … How far does this real number lie from zero (the origin) on the real number line?

Absolute Value Inequalities Or more simply… What is the distance between zero and this number?

Let’s Continue to Review |X| > 4 OR X > 4 X < -4 -4 4

Solving Absolute Value Inequalities and x – 3 < 5 x – 3 > -5 +3 +3 +3 +3 X < 8 X > -2 -2 < x < 8 -2 8

Solving Absolute Value Inequalities | 8x| > 40 or 8x > 40 8x < -40 8x > 40 8 8 8x < -40 8 8 X > 5 X < -5 or -5 > x > 5 -10 -5 5 10

Solving Absolute Value Inequalities | 2x + 1 | > 9 or 2x + 1 > 9 2x + 1 < -9 -1 -1 -1 -1 2x > 8 2 2 2x < -10 2 2 X > 4 X < -5 or -5 > x > 4 -10 -5 5 10

(show or explain your work in detail…must be legible) Let’s practice: Problem Solve / Graph Problem (show or explain your work in detail…must be legible) Answer (must be legible) Solve and graph the inequality on a number line. |c +6| > 12 |n – 5| < 10 |3y| ≥ 27