Question

How do you solve `8x-(x-5)>x+17`?

Answer 1

`x > 2`

Explanation:

Given
`color(white)("XXX")8x-(x-5) > x+17`

Remember that valid operations that maintain the validity and direction of an inequality include:
a) addition or subtraction of the same amount to both sides;
b) multiplication or division of both sides by the same amount provided that amount is greater than zero.

`rArr`
`color(white)("XXX")7x+5 > x+17`

`color(white)("XXX")6x > 12`

`color(white)("XXX")x > 2`