Question

Determine if the given value is a solution of the inequality. Show your work.

7 – 2y > 3y + 13; y = -1

Answer 1

Given:

`7-2y>3y+13`

To find:

The whether the value
`y=-1` is a solution of the given inequality or not.

Solution:

We have,

`7-2y>3y+13`

It can be rewritten as

`-2y-3y>13-7`

`-5y>6`

Divide both sides by -5 and change the inequality sign.

`y<(6)/(-5)`

`y<-1.2`

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

`-1>-1.2`

Therefore,
`y=-1` is not a solution of the given inequality.