Question

Daisy looks at the inequality 12-x>5 and says I subtract from 12 and want a result that is bigger than 5. That means that all the solutions should be valued of x that are smaller than something. Provide solutions to the inequality.

Answer 1

`x<7`

Explanation:

Daisy looks at the inequality
`12-x>5` and says I subtract from 12 and want a result that is bigger than 5.

This means that subtracted number should be smaller than
`12-5=7`.

Thus, the solutions to the inequality
`12-x>5` are all values of
`x` such that

`x<7`

You can solve the inequality in following way:

`12-x>5\\ \\12-x-12>5-12\ [\text{Use subtraction property}]\\ \\-x>-7\\ \\x<7\ [\text{Multiplying the inequality by -1 changes the sign of inequality}]`