Question

How do you solve `3x-7>5`?

Answer 1

`x > 4`

Explanation:

Solving inequalities is similar to solving equations.

First, we want to add `color(blue)7` to both sides of the inequality:
`3x - 7 quadcolor(blue)(+quad7) > 5 quadcolor(blue)(+quad7)`

`3x > 12`

Now divide both sides by `color(blue)3`:
`(3x)/color(blue)3 > 12/color(blue)3`

So the answer is:
`x > 4`

This is the same thing as "`x` is greater than `4`".

Hope this helps!

Answer 2

The answer is:
`x > 4`

Explanation:

`3x - 7 > 5`

Let's make it look simpler by isolating the x-base value.

We can add 7 on both sides to eliminate 7 on LHS

`3x - 7 + 7 > 5 + 7`
`or, 3x > 12`

Dividing both side by 3:

`or, (3x)/3 > 12/3`
`or, x > 4`