Question

find the solution set of the inequality
12 - 6x > 24.
x

Explanation:

Step1: Subtract 12 from both sides

$12 - 6x - 12 > 24 - 12$
Simplifies to: $-6x > 12$

Step2: Divide both sides by -6 (reverse inequality)

$\frac{-6x}{-6} < \frac{12}{-6}$
Simplifies to: $x < -2$

Answer:

$x < -2$ (So the symbol is $<$, and the number is $-2$)