Solve 7-2x/4<-1

$$\frac{ 7-2x }{ 4 } < -1$$

Solve for x

$$x>\frac{11}{2}$$

Solution Steps

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

$$7-2x<-4$$

Subtract 7 from both sides.

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

Subtract 7 from -4 to get -11.

$$-2x<-11$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x>\frac{-11}{-2}$$

Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{11}{2}$$