Question

Translate and then solve the inequality. “Ten subtracted from the quotient of a number and 7 is less than -6.”

Answer 1

Given:

Ten subtracted from the quotient of a number and 7 is less than -6.

Let x be a number.

The given statement is written as,

`\begin{gathered} (x)/(7)-10<-6 \\ \text{Add 10 on both side} \\ (x)/(7)-10+10<-6+10 \\ (x)/(7)<4 \\ \text{Multiply by 7 on both sides} \\ 7((x)/(7))<7(4) \\ x<28 \end{gathered}`

Answer: the inequality is,

`(x)/(7)-10<-6`

The solution is,

`x<28`