La’Shondra solves the inequality 6+3x≤24

Question

. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?

Answer 1

To solve the inequality \( 6 + 3x \leq 24 \), La'Shondra first subtracts 6 from both sides:

\[ 6 + 3x - 6 \leq 24 - 6 \]

This simplifies to:

\[ 3x \leq 18 \]

Next, she divides both sides of the inequality by 3:

\[ \frac{3x}{3} \leq \frac{18}{3} \]

This simplifies to:

\[ x \leq 6 \]

So the number that she divides both sides by is \( 3 \).