Question

Solve the inequality 47.75 + x Less-than-or-equal-to 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?

x Less-than-or-equal-to 2.25
x Less-than-or-equal-to 2.75
x Greater-than-or-equal-to 2.25
x Greater-than-or-equal-to 2.75

Answer 1

A x <_ 2.25

Explanation:

Answer 2

Answer: x Less-than-or-equal-to 2.25

Explanation:

The given inequality: 47.75 + x Less-than-or-equal-to 50.

To determine: How much more weight can be added to Li’s suitcase without going over the 50-pound limit.

i.e. inequality for x.

`47.75+x\leq50`

Subtract 47.75 from both the sides, we get

`x\leq50-47.75\\\\\Rightarrow\ x\leq2.25`

So, the solution set is "x Less-than-or-equal-to 2.25"

Hence, the correct answer is "x Less-than-or-equal-to 2.25."