Solve 10<-1/7y+2

$$10 < - \frac { 1 } { 7 } y + 2$$

Solve for y

$$y<-56$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-\frac{1}{7}y+2>10$$

Subtract 2 from both sides.

$$-\frac{1}{7}y>10-2$$

Subtract 2 from 10 to get 8.

$$-\frac{1}{7}y>8$$

Multiply both sides by -7, the reciprocal of -\frac{1}{7}. Since -\frac{1}{7} is negative, the inequality direction is changed.

$$y<8\left(-7\right)$$

Multiply 8 and -7 to get -56.

$$y<-56$$