Question

Solve -5x + 12 < 32(1 point)
Responses

x > -4
x > -4

x < -4
x < -4

x > 4
x > 4

x < 4

Answer 1

Let's solve the inequality step by step:

Starting with:
\[
-5x + 12 < 32
\]

1. Subtract 12 from both sides:
\[
-5x < 32 - 12
\]
\[
-5x < 20
\]

2. Divide both sides by -5. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:
\[
x > \frac{20}{-5}
\]
\[
x > -4
\]

So, the solution to the inequality is:
\[
x > -4
\]

The correct response is:
**x > -4**