Question

Solve the absolute value equation or indicate that the equation has no solution.
|x+6|=9
B.{-15;3}
C. {-3,15}
D. zero with line through it

Answer 1

@uri please help

Answer 2

the answer is B: [-15, 3]

Answer 3

Thank you @s.math

Answer 4

Firstly we shall try to write the absolute value equation as an inequation

Answer 5

-9<= x+6 <=9
considering -9<= x+6
we get x>=-15
and considering x+6<=9
we get x<=3
the intersection of both these gives the region -15<=x<=3