Question

The solutions to the equation -4|x + 9| = -8 are:

7, 11
7, -11
-7, 11
-7, -11

Answer 1

x = - 7 , - 11

Explanation:

`-4 | x +9| = - 8\\\\(-4)/(-4) |x+9| = (-8)/(-4)\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7`

Answer 2

option 4

Explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.