Question

#9.

Solve and graph this inequality:

5(-3x − 2) ≥ −15

You will need to move your point below to earn full credit. 👇

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 5(-3x - 2) ≥ -15, we will simplify and isolate the variable x.

Start by distributing the 5 to the terms inside the parentheses:
-15x - 10 ≥ -15

Next, add 10 to both sides to eliminate the constant term -10 on the left side of the inequality:
-15x - 10 + 10 ≥ -15 + 10
-15x ≥ -5

Divide both sides by -15, remembering to reverse the inequality symbol when dividing by a negative number:
(-15x)/-15 ≤ (-5)/-15
x ≤ 1/3

Therefore, the solution to the inequality is x ≤ 1/3.

To graph this inequality on a number line, draw a closed circle at the point x = 1/3 and shade the region to the left of the circle, including the circle itself. Since the inequality includes the equal sign (≤), we use a closed circle to represent the value x = 1/3.

On the number line, the graph would look like this:

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