Solve the Inequality for x 2x-1<=x+5

$2 x - 1 \leq x + 5$

Step 1

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

Subtract $x$ from both sides of the inequality.

$2 x - 1 - x \leq 5$

Subtract $x$ from $2 x$ .

$x - 1 \leq 5$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$x \leq 5 + 1$

Add $5$ and $1$ .

$x \leq 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 6$

Interval Notation:

$(- \infty, 6]$