A
All real numbers less than 0 and greater than –22
B
All real numbers greater than 13 and less than 15
C
All real numbers less than 0 and greater than or equal to 13
D
All real numbers less than or equal to –22.
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Answers & Comments
Verified answer
x - 5 < -5 => x < 0. (Add 5 to both sides of the original inequality.)
x + 4 > -18 => x > -22. (Subtract 4 from both sides of the original inequality.)
Thus x – 5 < –5 or x + 4 > –18 => x < 0 or x > -22.
If you draw the above two inequalities on a number line, you'll see that one or both of them is true of *any* real number!
I'd guess you have a typo, and the "or" should be an "and". In that case you'd have
x < 0 and x > -22, or x less than 0 and greater than –22; i.e., option A.
A) -1
B) 14
C) 13
D) -22