Question

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

Answer 1

The second alternative is the correct answer

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

Answer 2

Choice B is correct.

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.