Question

How do you solve `8x + ( - 65) > - 5x + ( 26)`?

Answer 1

Isolate x and solve for it, as done if the > were a = . Result is `x>7`

Explanation:

You can solve inequalities similarly to how you solve normal equations. In this case it would be as follows:

`8x + (-65) > -5x + (26)`
`8x - 65 > -5x + 26`

isolate `x` by adding `5x` and `65` to both sides...

`13x > 91`
`x>91/13`
`x>7`

Alternatively, if you were to isolate `x` by subtracting `8x` from both sides you would end up with a negative coefficient of `x`. When you would divide by this coefficient in the final step, you have to flip the > sign into a < sign, as follows:

`8x - 65 > -5x + 26`
`-91 > -13x`

and then the switch...
`(-91)/-13 < x`

to result in `7 < x`, or `x > 7`, as we found above