Solve the Inequality for y -8y<-3y+5

$- 8 y < - 3 y + 5$

Step 1

Move all terms containing $y$ to the left side of the inequality.

Add $3 y$ to both sides of the inequality.

$- 8 y + 3 y < 5$

Add $- 8 y$ and $3 y$ .

$- 5 y < 5$

Step 2

Divide each term in $- 5 y < 5$ by $- 5$ and simplify.

Divide each term in $- 5 y < 5$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 y}{- 5} > \frac{5}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} > \frac{5}{- 5}$

Divide $y$ by $1$ .

$y > \frac{5}{- 5}$

Simplify the right side.

Divide $5$ by $- 5$ .

$y > - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y > - 1$

Interval Notation:

$(- 1, \infty)$

Solve the Inequality for y -8y<-3y+5

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