Question

Solve for x.

Answer 1

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Answer:

x = 6 or x = -10

Step-by-step explanation:

Given:

Solve for x.

1 + |2+x|= 9

O x = 4 or x = -8

O x = 7 or X = -11

O x = 5 or x = -9

x = 6 or X = -10

Solve:

1 + |2+x|= 9

Subtract 1 from both sides:

1 + |2 +x| -1 = 9-1

Simplify

|2 + x | = 8

Applying absolute value rule:  If |u| = a, a > 0 then u = a or u = -a

2 + x = -8

2 + x = 8

Solving:

2 + x = -8

2 - 2 + x = -8 - 2

x = -10

Solving:

2 + x = 8

2 - 2 + x = 8 - 2

x = 6

Hence, x = 6 or x = -10

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8/26/2022