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).

Step-by-step 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.

⇒ $4x-7\leq 9$

⇒ $4x\leq 16$

⇒ $\frac{4x}{4}\leq \frac{16}{4}$

⇒ $x\leq 4$

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 .