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)
To solve the inequality 6 + 3x ≤ 24, La'Shondra first subtracts 6 from both sides:
6 + 3x - 6 ≤ 24 - 6
3x ≤ 18
Next, she divides both sides by a number to isolate x.
To find the number, we need to divide both sides of the inequality by the coefficient of x, which is 3.
3x/3 ≤ 18/3
x ≤ 6
Therefore, the number that La'Shondra divides both sides by is 3.
To solve the inequality 6 + 3x ≤ 24, La'Shondra subtracts 6 from both sides of the inequality. This gives us:
6 + 3x - 6 ≤ 24 - 6
3x ≤ 18
Next, to isolate the variable x, La'Shondra divides both sides of the inequality by a number. To find this number, we divide both sides of the inequality by 3:
(3x) / 3 ≤ 18 / 3
x ≤ 6
Therefore, the number she divides both sides of the inequality by is 3.