Graph -1/3(2x+1)<3

$- \frac{1}{3} (2 x + 1) < 3$

Multiply each term in $- \frac{1}{3} \cdot (2 x + 1) < 3$ by $- 3$ to eliminate the fractions.

Multiply each term in $- \frac{1}{3} \cdot (2 x + 1) < 3$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{1}{3} \cdot (2 x + 1) \cdot - 3 > 3 \cdot - 3$

Simplify the left side.

Apply the distributive property.

$(- \frac{1}{3} (2 x) - \frac{1}{3} \cdot 1) \cdot - 3 > 3 \cdot - 3$

Multiply $- \frac{1}{3} (2 x)$ .

Multiply $2$ by $- 1$ .

$(- 2 (\frac{1}{3}) x - \frac{1}{3} \cdot 1) \cdot - 3 > 3 \cdot - 3$

Combine $- 2$ and $\frac{1}{3}$ .

$(\frac{- 2}{3} x - \frac{1}{3} \cdot 1) \cdot - 3 > 3 \cdot - 3$

Combine $\frac{- 2}{3}$ and $x$ .

$(\frac{- 2 x}{3} - \frac{1}{3} \cdot 1) \cdot - 3 > 3 \cdot - 3$

Multiply $- 1$ by $1$ .

$(\frac{- 2 x}{3} - \frac{1}{3}) \cdot - 3 > 3 \cdot - 3$

Move the negative in front of the fraction.

$(- \frac{2 x}{3} - \frac{1}{3}) \cdot - 3 > 3 \cdot - 3$

Simplify terms.

Apply the distributive property.

$- \frac{2 x}{3} \cdot - 3 - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2 x}{3}$ into the numerator.

$\frac{- 2 x}{3} \cdot - 3 - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Factor $3$ out of $- 3$ .

$\frac{- 2 x}{3} \cdot (3 (- 1)) - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Cancel the common factor.

$\frac{- 2 x}{3} \cdot (3 \cdot - 1) - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Rewrite the expression.

$- 2 x \cdot - 1 - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Multiply $- 1$ by $- 2$ .

$2 x - \frac{1}{3} \cdot - 3 > 3 \cdot - 3$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$2 x + \frac{- 1}{3} \cdot - 3 > 3 \cdot - 3$

Factor $3$ out of $- 3$ .

$2 x + \frac{- 1}{3} \cdot (3 (- 1)) > 3 \cdot - 3$

Cancel the common factor.

$2 x + \frac{- 1}{3} \cdot (3 \cdot - 1) > 3 \cdot - 3$

Rewrite the expression.

$2 x - 1 \cdot - 1 > 3 \cdot - 3$

Multiply $- 1$ by $- 1$ .

$2 x + 1 > 3 \cdot - 3$

Simplify the right side.

Multiply $3$ by $- 3$ .

$2 x + 1 > - 9$

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

Subtract $1$ from both sides of the inequality.

$2 x > - 9 - 1$

Subtract $1$ from $- 9$ .

$2 x > - 10$

Divide each term in $2 x > - 10$ by $2$ and simplify.

Divide each term in $2 x > - 10$ by $2$ .

$\frac{2 x}{2} > \frac{- 10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{- 10}{2}$

Divide $x$ by $1$ .

$x > \frac{- 10}{2}$

Simplify the right side.

Divide $- 10$ by $2$ .

$x > - 5$

Graph -1/3(2x+1)<3

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