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?
To solve the inequality 6+3x ≤ 24, La'Shondra begins by subtracting 6 from both sides to get:
6 - 6 + 3x ≤ 24 - 6
This simplifies to:
3x ≤ 18
Next, 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.
To solve the inequality 6 + 3x ≤ 24, La’Shondra subtracted 6 from both sides of the inequality. This gives us:
6 + 3x - 6 ≤ 24 - 6
Simplifying, we get:
3x ≤ 18
Now, La’Shondra wants to isolate x by dividing both sides of the inequality by a number. To find the number, let's divide both sides of the inequality by 3:
(3x)/3 ≤ 18/3
Simplifying, we have:
x ≤ 6
Therefore, the number she divided both sides of the inequality by is 3.