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

Let's solve the inequality step-by-step. Starting from the given inequality:

\[ 6 + 3x \leq 24 \]

La’Shondra first subtracts 6 from both sides:

\[ 3x \leq 24 - 6 \] \[ 3x \leq 18 \]

Next, she will divide both sides of the inequality by a number to isolate \( x \). To solve for \( x \), she divides both sides by 3:

\[ x \leq \frac{18}{3} \] \[ x \leq 6 \]

The number that she divides both sides by is 3.