Question

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

Answer 1

Answer:

Part 67) $x > -2$  and $x < 3$

Part 68) $x\leq -1$  or  $x\geq 1$

Step-by-step 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