Solve the inequality.

Question

r + 4 – 2(r – 14) > 0


r < 32

r > –24

r > 32

r < –24

Answer 1

To solve the inequality \( r + 4 - 2(r - 14) > 0 \), we first simplify the left side:

1. Distribute the \(-2\): \[ r + 4 - 2r + 28 > 0 \]

2. Combine like terms: \[ -r + 32 > 0 \]

3. Rearranging gives: \[ -r > -32 \]

4. Multiply both sides by \(-1\) (remember to reverse the inequality sign): \[ r < 32 \]

Thus, the solution to the inequality is: \[ r < 32 \]

So the correct choice from the options provided is:

• \( r < 32 \)