Question

Solve the following compound inequality.

A.

B.

C.

D.

Answer 1

C

Explanation:

We have the compound inequality:

`5x+7\leq-3\text{ or } 3x-4\geq11`

We will solve each inequality individually and then combine them at the end.

For the first inequality, we have:

`5x+7\leq-3`

Subtract 7 from both sides:

`5x\leq-10`

Divide both sides by 5:

`x\leq-2`

For the second inequality, we have:

`3x-4\geq11`

Add 4 to both sides:

`3x\geq15`

Divide both sides by 3:

`x\geq5`

Since our original inequality was an “OR,” our solution set is also an “OR.”

Hence, our solution is:

`x\leq-2\text{ or } x\geq5`

Thus, our answer is C.

Answer 2

c is the answer

Explanation:

5x+7 ≤ -3

-7

5x ≤ -10

/5

x ≤ -2