Answer:
B
Step-by-step explanation:
Let's first find the boundary values. For that we temporarily replace the ≥ by an = and eliminate the abs value:
| -3x - 5 | ≥ 7 →
-3x -5 = 7 or -3x -5 = -7
x = -4 or x = 2/3
From this we can already eliminate A and C. To help choose between B and D, let's fill in a really simple value, like x=0.
This gives:
| -5 | ≥ 7, which is not true. So x=0 is not in our solution, which eliminates answer D.
Therefore B must be the correct answer.
