Question

Represent each situation with an inequality.(a) The sum of a number and 12 is at most 8.(b) A number increased by 8 is greater than 12.(c) 8 less than a number is no more than 12.

Answer 1

(a)

The sum of a number and 12 can be represented by "x + 12".

If this sum is at most 8, that means it is lesser than or equal to 8, so we have:

`x+12\leq8`

(b)

A number increased by 8 can be represented by "x + 8".

If this sum is greater than 12, we have:

`x+8>12`

(c)

8 less than a number can be represented by "x - 8".

If this difference is no more than 12, that means it is lesser than or equal to 12, so we have:

`x-8\leq12`