Question

Write a compound inequality that each graph could represent for the following questions.

Answer 1

Part 67)
`x > -2` and
`x < 3`

Part 68)
`x\leq -1` or
`x\geq 1`

Explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

so

The compound inequality could be

`x > -2` and
`x < 3`

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1

The compound inequality could be

`x\leq -1` or
`x\geq 1`

"Or” indicates that, as long as either statement is true, the entire compound sentence is true