Question

Consider the following compound inequality. -7_<5x-2<8A) Solve the inequality for x.B) Graph the compound inequality. C) Enter the solution interval notation.

Answer 1

A)

`-1\le\: x<2`

B)

C)

`\: \lbrack-1,\: 2)`

Explanation:

We have the following compound inequality

`-7\le\: 5x-2<8`

A) Solve the inequality for x.

`\begin{gathered} -7+2\le\: 5x-2+2<8+2 \\ (-5)/(5)\le\: (5x)/(5)<(10)/(5) \\ -1\le\: x<2 \end{gathered}`

B) Graph the compound inequality.

C) Enter the solution interval notation.

In its interval form it would be:

`\: \lbrack-1,\: 2)`