Solve 2y+5<y-21/4

$$2 y + 5 < \frac { y - 21 } { 4 }$$

Solve for y

$$y<-\frac{41}{7}$$

Solution Steps

Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.

$$8y+20<y-21$$

Subtract y from both sides.

$$8y+20-y<-21$$

Combine 8y and -y to get 7y.

$$7y+20<-21$$

Subtract 20 from both sides.

$$7y<-21-20$$

Subtract 20 from -21 to get -41.

$$7y<-41$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$y<-\frac{41}{7}$$