Question

In the inequality 10x + 18 <_238 x represents the number of days Matt will be able to work during the summer. Which phrase MOST accurately describes that number of days?

A. exactly 22 days
B. more than 22 days
C. at most 22 days
D. less than 22 days

25 PTS!!

Answer 1

Answer:(c)

Explanation:

Given

Inequality is
`10x+18\leq 238`

Subtract
`18` from both side of the inequality

`\Rightarrow 10x+18-18\leq 238-18\\\Rightarrow 10x\leq 220`

divide both sides by 10

`\Rightarrow (10x)/(10)\leq (220)/(10)\\\Rightarrow x\leq 22`

Therefore, maximum value of x can be 22 i.e. at most 22 days