Solve for x -4x+6<=2x

$- 4 x + 6 \leq 2 x$

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

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

$- 4 x + 6 - 2 x \leq 0$

Subtract $2 x$ from $- 4 x$ .

$- 6 x + 6 \leq 0$

Subtract $6$ from both sides of the inequality.

$- 6 x \leq - 6$

Divide each term in $- 6 x \leq - 6$ by $- 6$ and simplify.

Divide each term in $- 6 x \leq - 6$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} \geq \frac{- 6}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} \geq \frac{- 6}{- 6}$

Divide $x$ by $1$ .

$x \geq \frac{- 6}{- 6}$

Simplify the right side.

Divide $- 6$ by $- 6$ .

$x \geq 1$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 1$

Interval Notation:

$[1, \infty)$

Solve for x -4x+6<=2x

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