Solve the Inequality for y 11>-3y+2

$11 > - 3 y + 2$

Step 1

Rewrite so $y$ is on the left side of the inequality.

$- 3 y + 2 < 11$

Step 2

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

Subtract $2$ from both sides of the inequality.

$- 3 y < 11 - 2$

Subtract $2$ from $11$ .

$- 3 y < 9$

Step 3

Divide each term in $- 3 y < 9$ by $- 3$ and simplify.

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

$\frac{- 3 y}{- 3} > \frac{9}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} > \frac{9}{- 3}$

Divide $y$ by $1$ .

$y > \frac{9}{- 3}$

Simplify the right side.

Divide $9$ by $- 3$ .

$y > - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > - 3$

Interval Notation:

$(- 3, \infty)$

Solve the Inequality for y 11>-3y+2

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