Question

What is the solution to the inequality `2x-7>15`?

Answer 1

`x>11`

Explanation:

You can solve this inequality by isolating `x` on one side, first by adding `7` to both sides of the inequality, then by dividing everything by `2`.

So, adding `7` to both sides will get you

`2x - color(red)(cancel(color(black)(7))) + color(red)(cancel(color(black)(7))) > 15 + 7`

`2x > 22`

Now divide both terms by `2` to get `x` alone on the left side of the inequality

`(color(red)(cancel(color(black)(2)))x)/color(red)(cancel(color(black)(2))) > 22/2`

`x > color(green)(11)`

This means that your inequality is valid for any value of `x` that is greater than `11`.

graph{x > 11 [-10, 10, -5, 5]}