Solve the Inequality for x 2x+3<x+x-1

$2 x + 3 < x + x - 1$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$x + x - 1 > 2 x + 3$

Step 2

Add $x$ and $x$ .

$2 x - 1 > 2 x + 3$

Step 3

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

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

$2 x - 1 - 2 x > 3$

Combine the opposite terms in $2 x - 1 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 - 1 > 3$

Subtract $1$ from $0$ .

$- 1 > 3$

Step 4

Since $- 1 < 3$ , there are no solutions.

No solution