Inequality Statement

Question

Five less than 18 times the number x, is less than or equal to -45

Answer 1

The following expression can be written to represent "18 times the number x" : 18x

Then "five less than" the above expression would mean to subtract 5 from the expression: 18x - 5

Also, "is less than or equal to -45" can be written as : ≤ -45

Combining these gives the inequality: 18x - 5 ≤ -45

This can be solved using inverse operations:

18x - 5 ≤ -45

18x - 5 + 5 ≤ -45 + 5

18x ≤ -40

18x /18 ≤ -40/18

x ≤ -20/9 or -2 2/9

Answer 2

18x - 5 ≤ -45

18x ≤ -40

x ≤ -40/18

x ≤ -20/9