Question

solve for k.
-4 ≤ (k - 20)/4 < 0
write your answer as a compound inequality with integers.

Explanation:

Step1: Multiply all parts by 4

Multiply each part of the compound - inequality $-4\leq\frac{k - 20}{4}<0$ by 4.
$-4\times4\leq\frac{k - 20}{4}\times4<0\times4$
$-16\leq k - 20<0$

Step2: Add 20 to all parts

Add 20 to each part of the inequality $-16\leq k - 20<0$.
$-16 + 20\leq k-20 + 20<0 + 20$
$4\leq k<20$

Answer:

$4\leq k<20$