Solve 10<-1/7ydiv2

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

Solve for y

$$y<-140$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.

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

Multiply 10 and 2 to get 20.

$$20<-\frac{1}{7}y$$

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

$$-\frac{1}{7}y>20$$

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

$$y<20\left(-7\right)$$

Multiply 20 and -7 to get -140.

$$y<-140$$