Question

What is 4x - 2 > 12? thanks!

Answer 1

4x-2>12
+2. +2
4x>14
4x÷4>14÷4
x>7/2 (simplified)

Answer 2

Here is your equation:

`4x-2>12`

You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.

Add 2 to both sides:

`4x-2+2>12+2 \\4x>14`

You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.

Divide by 4 on both sides:

`4x / 4 > 14 / 4 \\\\x>(14)/(4)`

The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:

`(14 / 2)/(4 / 2) = (7)/(2)`

New Inequality:

`x>(7)/(4)`

That means your answer is x >
`\bf (7)/(2)`

If you have any questions, feel free to ask in the comments! :)