Question

what are the solutions for $-3x - 24 \leq - 36$?
x $\boldsymbol{\bigtriangledown}$ $\boldsymbol{\square}$

Explanation:

Step1: Add 24 to both sides

To isolate the term with \( x \), we add 24 to both sides of the inequality \( -3x - 24 \leq -36 \). This gives us \( -3x - 24 + 24 \leq -36 + 24 \), which simplifies to \( -3x \leq -12 \).

Step2: Divide by -3 (reverse inequality)

When dividing both sides of an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \( -3x \leq -12 \) by -3, we get \( \frac{-3x}{-3} \geq \frac{-12}{-3} \), which simplifies to \( x \geq 4 \).

Answer:

\( x \geq 4 \) (So the symbol is \( \geq \) and the number is 4)