Solve the Inequality for x -2-3x>=2

$- 2 - 3 x \geq 2$

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

Add $2$ to both sides of the inequality.

$- 3 x \geq 2 + 2$

Add $2$ and $2$ .

$- 3 x \geq 4$

Divide each term in $- 3 x \geq 4$ by $- 3$ and simplify.

Divide each term in $- 3 x \geq 4$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} \leq \frac{4}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} \leq \frac{4}{- 3}$

Divide $x$ by $1$ .

$x \leq \frac{4}{- 3}$

Simplify the right side.

Move the negative in front of the fraction.

$x \leq - \frac{4}{3}$

The result can be shown in multiple forms.

Inequality Form:

$x \leq - \frac{4}{3}$

Interval Notation:

$(- \infty, - \frac{4}{3}]$

Solve the Inequality for x -2-3x>=2

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