Question

Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models.Which inequality could be used to find the number of models Walt builds?

A) 4m - 7 < 9


B) 4m - 7 ≤ 9


C) 4m - 7 >9


D) 4m - 7 ≥ 9

Answer 1

`4x-7\leq 9` inequality could be used to find the number of models Walt builds. Correct option B).

Explanation:

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒
`4x-7`

But , according to question Dwight builds at most 9 models i.e.

⇒
`4x-7\leq 9`

⇒
`4x\leq 16`

⇒
`(4x)/(4)\leq (16)/(4)`

⇒
`x\leq 4`

Therefore ,
`4x-7\leq 9` inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .