Solve the Inequality for y -3y<-14

$- 3 y < - 14$

Step 1

Divide each term in $- 3 y < - 14$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 y}{- 3} > \frac{- 14}{- 3}$

Step 2

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} > \frac{- 14}{- 3}$

Divide $y$ by $1$ .

$y > \frac{- 14}{- 3}$

Step 3

Simplify the right side.

Dividing two negative values results in a positive value.

$y > \frac{14}{3}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > \frac{14}{3}$

Interval Notation:

$(\frac{14}{3}, \infty)$

Solve the Inequality for y -3y<-14

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