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

Choice B is correct.

Step-by-step explanation:

We have given compound inequality:

8x > - 32 or 6x ≤ - 48

We have to solve the compound inequality.

We solve the first inequality:

8x > - 32

x > - 32/8

x > - 4

We solve the second ineqality:

6x ≤ - 48

x ≤ - 48/6

x ≤ - 8.

So, x > - 4 or x ≤ - 8 is the solution of the inequality.