Evaluate -65y+19<-2y+41

$- 65 y + 19 < - 2 y + 41$

Step 1

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

Add $2 y$ to both sides of the inequality.

$- 65 y + 19 + 2 y < 41$

Add $- 65 y$ and $2 y$ .

$- 63 y + 19 < 41$

Step 2

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

Subtract $19$ from both sides of the inequality.

$- 63 y < 41 - 19$

Subtract $19$ from $41$ .

$- 63 y < 22$

Step 3

Divide each term in $- 63 y < 22$ by $- 63$ and simplify.

Divide each term in $- 63 y < 22$ by $- 63$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 63 y}{- 63} > \frac{22}{- 63}$

Simplify the left side.

Cancel the common factor of $- 63$ .

Cancel the common factor.

$\frac{- 63 y}{- 63} > \frac{22}{- 63}$

Divide $y$ by $1$ .

$y > \frac{22}{- 63}$

Simplify the right side.

Move the negative in front of the fraction.

$y > - \frac{22}{63}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > - \frac{22}{63}$

Interval Notation:

$(- \frac{22}{63}, \infty)$

Evaluate -65y+19<-2y+41

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