Q:

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

Accepted Solution

A:
Answer:Part 67) [tex]x > -2[/tex]  and [tex]x < 3[/tex]Part 68) [tex]x\leq -1[/tex]  or  [tex]x\geq 1[/tex]Step-by-step explanation:Part 67) we know thatThe solution of the number line is the interval -------> (-2,3)All real numbers greater than -2 and less than 3soThe compound inequality could be [tex]x > -2[/tex]  and [tex]x < 3[/tex]"And” indicates that, both statements must be true at the same timePart 68) we know thatThe 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[tex]x\leq -1[/tex]  or  [tex]x\geq 1[/tex]"Or” indicates that, as long as either statement is true, the entire compound sentence is true