2-8 Solving Absolute Value Equations and ... - Math Slide Show

Lesson 2-8
Objective - To solve absolute value equations
and inequalities.
Solve.
3x − 2 = 19
3x − 2 = 19 or 3x − 2 =−19
3x = 21 3x =−17
x = 7 or
x =− 17
⎧
3
7, - 17 ⎫
⎨ ⎬
⎩ 3 ⎭
Solve.
5x − 6 + 8 = 32
−8 − 8
5x − 6 = 24
5x − 6 = 24 or 5x − 6 =−24
5x = 30 5x =−18
x = 6
or
⎧ 18⎫
⎨6,
− ⎬
⎩ 5 ⎭
x =− 18 5
Solve.
4 x + 5 = 20
4 4
x + 5 = 5
x + 5 = 5 or x + 5 =−5
x = 0 or x =−10
{0, − 10}
Solve and graph.
2x + 7 < 2
2x + 7 < 2 and 2x + 7 >−2
2x < −5 2x >−9
x < −2.5 and x >−4.5
−4.5 < x x >−5
−5 < x < 9
-5 0 9
Algebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010

Lesson 2-8 (cont.)
Solve by using a compound inequality.
−3x + 5 < 11
−11 −2
−2 < x < 5 1 3
Solve and graph.
3x − 4 ≥ 11
3x − 4 ≥ 11 or 3x − 4 ≤−11
3x ≥ 15 3x ≤−7 x ≥ 5 x ≤−2 1 3
x ≥ 5 or x ≤−2 1 3
-2 1/3 0 5
Solve and graph.
−2x + 4 ≥ 8
−2x + 4 ≥ 8
−2x ≥ 4
x ≤ −2
or
−2x + 4 ≤−8
−2x ≤−12
x ≥ 6
x ≤−2 or x ≥ 6
-2 0 6
Algebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010