Question

Solve the linear inequality 1/4 x−2<12
.(1 point)
Responses

x>50
x greater than 50

x>56
x greater than 56

x<50
x less than 50

x<56

Answer 1

To solve the inequality \( \frac{1}{4}x - 2 < 12 \), follow these steps:

1. Add 2 to both sides:
\[
\frac{1}{4}x < 12 + 2
\]
\[
\frac{1}{4}x < 14
\]

2. Multiply both sides by 4 to isolate \( x \):
\[
x < 14 \times 4
\]
\[
x < 56
\]

So, the solution to the inequality is:
\[
x < 56
\]

Therefore, the correct response is:
**x<56**