Question

Solve.
7( x+3 ) < 5x + 13

Answer 1

the answer to this is x<-4

Answer 2

`\boxed {x < -4}`

Explanation:

Solve the following inequality:

`7(x + 3) < 5x + 13`

Use Distributive Property:

`7(x + 3) < 5x + 13`

`7x + 21 < 5x + 13`

-Take
`5x` and subtract it from
`7x`:

`7x + 21 - 5x < 5x - 5x + 13`

`2x + 21 < 13`

Subtract both sides by
`21`:

`2x + 21 - 21 < 13 - 21`

`2x < -8`

Divide both side by
`2x`

`(2x)/(2) < (-8)/(2)`

`\boxed {x < -4}`