Question

Which of the following is the solution

Answer 1

The smallest the absolute value will ever be is zero so the left side won't ever be smaller than -2 so won't ever be less than -3.

D. No solution

Answer 2

Hey there!

Let's solve the inequality to find our answer

Firstly, lets add $2$ on each of your sides

Like: $|x| -2 +2 \leq -3 +2$

Cancel out the two $2's$ that's in front of the less than or equal to symbol ($\leq$

Now we get: $|x| \leq -1$

So, since we got that result, your answer would be: $No\\ Solution$

(Not saying that that the answer would be always "no solution" because it won't)

Good luck on your assignment and enjoy your day!

~$LoveYourselfFirst:)$