Question

Solve the inequality 47.75+x≤50
to determine how much more weight can be added to Li’s suitcase without going over the 50-pound limit. What is the solution set?(1 point)
Responses

x≤2.25
x is less than or equal to 2 point 2 5

x≥2.25
x is greater than or equal to 2 point 2 5

x≥2.75
x is greater than or equal to 2 point 7 5

x≤2.75
x is less than or equal to 2 point 7 5

Answer 1

To solve the inequality \( 47.75 + x \leq 50 \), we need to isolate \( x \).

1. Subtract 47.75 from both sides:

\[
x \leq 50 - 47.75
\]

2. Calculate the right side:

\[
x \leq 2.25
\]

The solution set is:

\[
x \leq 2.25
\]

So the correct answer is:

**x≤2.25** or **x is less than or equal to 2 point 2 5**.