Question

x+24 divided by x+4 is greater than or equal to 4

Answer 1

\[ \frac{x+24}{x+4} ≥ 4 \]

Answer 2

you could add -4 to both sides
\[ \frac{x+24}{x+4} -4 ≥ 0\\\frac{x+24}{x+4}+\frac{-4(x+4)}{x+4}≥ 0\\
\frac{x+24-4x-16}{x+4} ≥ 0 \\
\frac{-3x+8}{x+4} ≥ 0\
\]

Answer 3

that fraction will be positive (that is, bigger than 0)
when both the top and bottom are negative, or both are positive

so you should test where -3x+8>0 and x+4>0
and where
-3x +8< 0 and x+4<0