Solve 4-2x<7x-1

$$4-2x < 7x-1$$

Solve for x

$$x>\frac{5}{9}$$

Solution Steps

Subtract 7x from both sides.

$$4-2x-7x<-1$$

Combine -2x and -7x to get -9x.

$$4-9x<-1$$

Subtract 4 from both sides.

$$-9x<-1-4$$

Subtract 4 from -1 to get -5.

$$-9x<-5$$

Divide both sides by -9. Since -9 is negative, the inequality direction is changed.

$$x>\frac{-5}{-9}$$

Fraction \frac{-5}{-9} can be simplified to \frac{5}{9} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{5}{9}$$