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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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.
To solve the inequality 6 + 3x ≤ 24, La'Shondra starts by subtracting 6 from both sides of the inequality. This gives us:
6 + 3x - 6 ≤ 24 - 6
Simplifying further, we have:
3x ≤ 18
Next, to get the value of x, she divides both sides of the inequality by a number. In this case, the number is 3.
Dividing both sides by 3, we get:
(3x)/3 ≤ 18/3
Simplifying further, we have:
x ≤ 6
Therefore, the number she divides both sides of the inequality by is 3.