Question

Solve the following inequality for x.

-10x + 2 > -38

A.
x < 3.6
B.
x > 4
C.
x < 4
D.
x > 3.6

Answer 1

To solve the inequality \(-10x + 2 > -38\), follow these steps:

1. Subtract 2 from both sides:
\[
-10x + 2 - 2 > -38 - 2
\]
This simplifies to:
\[
-10x > -40
\]

2. Divide both sides by -10. Remember to reverse the inequality sign when dividing by a negative number:
\[
x < 4
\]

Thus, the solution to the inequality is:
\[
x < 4
\]

The correct answer is **C. x < 4**.