Question

How do you solve `4x-30> -3x+12`?

Answer 1

Refer to explanation

Explanation:

What you got is called inequality .You need to find the values of variable x that make the inequality true. Hence

`4x-30 > -3x+12`
Move -30 to other side and change sign.
`4x>30-3x+12`
Move -3x to other side and change sign as well
`4x+3x>30+12`
Now add in both sides
`7x>42`
Divide by 7 both sides
`(7x)/7>(42)/7`
Simplify
`x>6`

Hence the values of x that satisfy the inequality belong to interval
`(6,+oo)`

Answer 2

The answer is `x>6` .

Explanation:

`4x-30> -3x+12`

Solve as if this were an equation.

Add `30` to both sides of the inequality.

`4x> -3x+12+30=`

`4x> -3x+42`

Add `3x` to both sides of the inequality.

`4x+3x>42=`

`7x>42`

Divide both sides by `7`.

`x>42/7=`

`x>6`