Question

Solve the inequality |4x + 5|-7> 12.

Select the graph of the solution set.
←
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
+0+
-8 -7 -6 -5 -4 -3 -2 -1
H
O+
5
0 8 7 5 4 3 2 1 0 1 2 3 4
-8 -7
09
-5 -4
3
9
0 1 2 3
4
2
-3 -2 -1 01
5678
6.
7 8
5 6 7 8
+0+
3 4 5 6 7 8

Answer 1

Bottom graph

Explanation:

`|4x+5|-7 > 12\\|4x+5| > 19\\\\4x+5 > 19\\4x > 14\\x > (7)/(2)\\\\4x+5 < -19\\4x < -24\\x < -6`

Therefore, the last graph is the correct answer