Answer:
-3 <= x <=8
Explanation:
-16 -3|2x-5| >= -49
The first step is to get the absolute value alone. We need to add 16 to each side.
-16+16 -3|2x-5| >= -49+16
-3|2x-5| >= -33
Now divide each side by -3. This will flip the inequality.
(-3/-3)|2x-5| =< -33/-3
|2x-5| =< 11
This is where we can separate the absolute value inequality into 2 pieces, one positive and one negative. Remember to flip the inequality symbol when we take the negative inequality.
2x-5 <=11 and 2x-5>=-11
Add 5 to each side.
2x-5+5 <=11+5 and 2x-5+5>=-11+5
2x<=16 and 2x>=-6
Divide by 2 on each side.
2x/2<=16/2 and 2x/2>=-6/2
x <=8 and x >=-3
Rewrite as a compound inequality
-3 <= x <=8