Question

Solve Two-Step Linear Inequalities Quick Check
5 of 55 of 5 Items







Question
Find the solution to the inequality x7+13>20
.(1 point)
Responses

x>49
x greater than 49

x>1
x greater than 1

x>337
x greater than Start Fraction 33 over 7 End Fraction

x<49

Answer 1

To solve the inequality \( \frac{x}{7} + 13 > 20 \), follow these steps:

1. **Subtract 13 from both sides**:
\[
\frac{x}{7} > 20 - 13
\]
\[
\frac{x}{7} > 7
\]

2. **Multiply both sides by 7** (since 7 is positive, the direction of the inequality stays the same):
\[
x > 7 \times 7
\]
\[
x > 49
\]

Therefore, the solution to the inequality is \( x > 49 \).

The correct response is:
- \( x > 49 \) (x greater than 49)