Solve the compound inequality 8x > –32 or 6x ≤ –48.
–4 > x ≥ –8
x > –4 or x ≤ –8
–4 < x ≥ –8
x < –4 or x ≤ –8

The second alternative is the correct answer

Step-by-step explanation:

We are given the inequality;

8x > -32

To solve for x we simply divide both sides by 8 and this will yield;

x > -4

For the second inequality;

6x ≤ -48

we divide both sides by 6 and solve for x;

x ≤ -8

Therefore the solution to the compound inequality is thus;

x > –4 or x ≤ –8

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