Solve and graph this inequality:
5\left(-3x-2\right)\ge-15
You will need to move your point below to earn full credit. 👇
Write your solved inequality here:
Should the point be open or closed?
Where is the shading?
To solve the inequality, we will start by distributing the 5 on the left side of the inequality:
5(-3x-2) ≥ -15
-15x - 10 ≥ -15
Now, let's isolate the variable by adding 10 to both sides of the inequality:
-15x - 10 + 10 ≥ -15 + 10
-15x ≥ -5
Finally, divide both sides of the inequality by -15, remembering to reverse the inequality symbol because we are dividing by a negative number:
(-15x) / -15 ≤ -5 / -15
x ≤ 1/3
The solved inequality is x ≤ 1/3.
Since the inequality is inclusive of the endpoint, the point should be closed.
The shading on the graph should be to the left of or on the point 1/3, as the solution includes all values less than or equal to 1/3.