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 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
[tex]x > -2[/tex] and [tex]x < 3[/tex]
"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
[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
