Solve 4-8x/5>10

$$\frac{ 4-8x }{ 5 } > 10$$

Solve for x

$$x<-\frac{23}{4}$$

Solution Steps

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$4-8x>10\times 5$$

Multiply 10 and 5 to get 50.

$$4-8x>50$$

Subtract 4 from both sides.

$$-8x>50-4$$

Subtract 4 from 50 to get 46.

$$-8x>46$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x<\frac{46}{-8}$$

Reduce the fraction \frac{46}{-8} to lowest terms by extracting and canceling out 2.

$$x<-\frac{23}{4}$$