Solve for x -3x-2>=7

$- 3 x - 2 \geq 7$

Step 1

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

Add $2$ to both sides of the inequality.

$- 3 x \geq 7 + 2$

Add $7$ and $2$ .

$- 3 x \geq 9$

Step 2

Divide each term in $- 3 x \geq 9$ by $- 3$ and simplify.

Divide each term in $- 3 x \geq 9$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} \leq \frac{9}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} \leq \frac{9}{- 3}$

Divide $x$ by $1$ .

$x \leq \frac{9}{- 3}$

Simplify the right side.

Divide $9$ by $- 3$ .

$x \leq - 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 3$

Interval Notation:

$(- \infty, - 3]$

Solve for x -3x-2>=7

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