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:
--------------------●
#9.
Solve and graph this inequality:
5(-3x − 2) ≥ −15
You will need to move your point below to earn full credit. 👇
1 answer
1 answer