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?
(1 point)

1 answer

Let's solve the inequality step by step:

  1. Start with the inequality: \[ 6 + 3x \leq 24 \]

  2. Subtract 6 from both sides: \[ 3x \leq 24 - 6 \] \[ 3x \leq 18 \]

  3. Now, to isolate \( x \), La'Shondra divides both sides by 3: \[ x \leq \frac{18}{3} \] \[ x \leq 6 \]

So, the number that La'Shondra divides both sides of the inequality by is 3.