Question

Which of the following is the solution to 1 x1 +9 $7?

A XS -2
B. All values are solutions
C. 3-2 and 2-16
D. No solution

Answer 1

d. no solution

Step-by-step explanation:

Step 1 - Subtract nine from both sides of the equation

`|x| + 9 \leqslant 7 \\ |x| + 9 - 9 \leqslant 7 - 9 \\ |x| \leqslant - 2`

Step 2 - Remove the absolute value

`|x| \leqslant - 2 \\ 2 \leqslant x \leqslant - 2 \\ 2 \leqslant - 2`

Therefore, since positive two is not less than or equal to negative two, there is no solution.