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 subtracts 6 from both sides:
6+3x - 6 ≤ 24 - 6
3x ≤ 18
Next, La'Shondra divides both sides of the inequality by a number to solve for x. The number by which she divides both sides is 3, since 3 is the coefficient of the x term:
(3x) / 3 ≤ 18 / 3
x ≤ 6
Therefore, the number by which La'Shondra divides both sides of the inequality is 3.
Solve the inequality Rx>10, where R is a number greater than 0.
To solve the inequality 6 + 3x ≤ 24, La'Shondra subtracts 6 from both sides of the inequality:
6 + 3x - 6 ≤ 24 - 6
3x ≤ 18
Next, to isolate the variable x, she divides both sides of the inequality by a number. Let's call this number "n":
(3x)/n ≤ 18/n
Therefore, the number she divides both sides of the inequality by is "n".
To solve the inequality 6 + 3x ≤ 24, La'Shondra begins by subtracting 6 from both sides of the inequality:
6 + 3x - 6 ≤ 24 - 6
3x ≤ 18
Next, she needs to divide both sides of the equivalent inequality by a number in order to isolate the variable x. To determine the number, we need to divide the coefficient of x, which is 3, from the inequality.
So, the number La'Shondra needs to divide both sides of the inequality by is 3.