Question

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

Answer 1

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)