Question

33 times a number x, subtracted from 18 is less than -90. Write an inequality for the statement above. Find the solution set of the inequality. Write the solution using a fraction or integer.

Answer 1

The inequality will be written as follows:
33 times a number x=33*x=33x
33x subtracted from 18=18-33x<-90
thus solving the inequality we shall have:
18-33x<-90
-33x<-90-18
-33x<-108
dividing both sides by -33 we get:
(-33x)/(-33)<-108/(-33)
x>36/11

Answer: x>36/11