Question

What compound inequality represents the phrase? Graph the solutions. all real numbers that are greater than –8 and less than 8

A. –8 < x < 8


B. –8 < x < 8


C. –8 < x 8


D. –8 x 8

Answer 1

The answer to this problem will have to be –8 < x < 8. apparently the answer could be choice A or B. The numbers that belong here could be -7,-6,-5, -4,-3, -2, -1, 0, 1, 2, 3, 4, 5 ,6 and 7. This also includes numbers that are irrational and rational in between the integers

Answer 2

we know that

1) the phrase all real numbers that are greater than
`-8`

represent the inequality------->
`x> -8`

2) the phrase all real numbers that are less than
`8`

represent the inequality------->
`x< 8`

therefore

3) the complete phrase all real numbers that are greater than
`-8` and less than
`8`

represent the compound inequality------>
`-8 < x < 8`

the solution is the interval-----> (-8,8)

using a graph tool

see the attached figure

the answer is the option

`-8 < x < 8`