Solve the Inequality for x 2-3x<=20

$2 - 3 x \leq 20$

Step 1

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

Subtract $2$ from both sides of the inequality.

$- 3 x \leq 20 - 2$

Subtract $2$ from $20$ .

$- 3 x \leq 18$

Step 2

Divide each term in $- 3 x \leq 18$ by $- 3$ and simplify.

Divide each term in $- 3 x \leq 18$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} \geq \frac{18}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} \geq \frac{18}{- 3}$

Divide $x$ by $1$ .

$x \geq \frac{18}{- 3}$

Simplify the right side.

Divide $18$ by $- 3$ .

$x \geq - 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 6$

Interval Notation:

$[- 6, \infty)$

Solve the Inequality for x 2-3x<=20

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