Question

Solve for x: −4|x + 5| = −16

x = 21 over 4, x = −11 over 4

x = −1, x = 9

x = −1, x = −9

No solution

Question 2 (Multiple Choice Worth 1 points)

[02.03]

Solve for x: |2x + 6| − 4 = 20

x = 9 and x = 11

x = −9 and x = 15

x = 9 and x = −15

No solution

Answer 1

-4 | x + 5 | = -16 --- divide both sides by -4
| x + 5 | = 4

x + 5 = 4
x = 4 - 5
x = -1

-(x + 5) = 4
-x - 5 = 4
-x = 4 + 5
-x = 9
x = -9

x = -1 and x = 9
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| 2x + 6 | - 4 = 20 --- add 4 to both sides
| 2x + 6 | = 24

2x + 6 = 24
2x = 24 - 6
2x = 18
x = 9

-(2x + 6) = 24
-2x - 6 = 24
-2x = 24 + 6
-2x = 30
x = -15

x = 9 and x = -15
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