Question

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?

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Answer 1

To solve the inequality 6+3x ≤ 24, La’Shondra begins by subtracting 6 from both sides.

6 + 3x - 6 ≤ 24 - 6

This simplifies to:

3x ≤ 18

Next, to solve for x, La’Shondra divides both sides of the inequality by the coefficient of x, which is 3.

(3x)/3 ≤ 18/3

This simplifies to:

x ≤ 6

Therefore, the number that La’Shondra divides both sides of the inequality by is 3.