Solve for x 2x-2>2x-4

$2 x - 2 > 2 x - 4$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Subtract $2 x$ from both sides of the inequality.

$2 x - 2 - 2 x > - 4$

Combine the opposite terms in $2 x - 2 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 - 2 > - 4$

Subtract $2$ from $0$ .

$- 2 > - 4$

Step 2

Since $- 2 > - 4$ , the inequality will always be true for any value of $x$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$