Question

Two thirds of a number is no more than -10

Answer 1

Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have


`(2)/(3)`x≤-10

In order to cancel out the
`(2)/(3)` on the left and isolate x, we multiply both sides by
`(3)/(2)` (since
`(3)/(2)`·
`(2)/(3)`=1). Thus, we have

x≤-10·
`(3)/(2)`=-15

Therefore, x≤-15