Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

For this case, the first thing we are going to do is define the following variable:

x = unknown number

We now write the following inequality:

5-3x < = 11

We clear x:

5-11 < = 3x

-6 < = 3x

-6/3 < = x

-2 < = x

The solution set is:

[-2, inf)

Answer:

the solution set is:

[-2, inf)