Question

How do you rewrite the inequality `abs(x+8)<5` as a compound inequality?

Answer 1

#{(x + 8 < 5,color(white)("xxxx")"for", x >=-8), (x+8 > 5,color(white)("xxxx")"for",x <-8) :}#

Explanation:

Note that the second case is null; that is
`x+8 > 5color(white)("xxx")rarrcolor(white)("xxx")x > -3`
which combined with `x < -8` has no solutions.