Solve -4x+2<1/2

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

Solve for x

$$x>\frac{3}{8}$$

Solution Steps

Subtract 2 from both sides.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{1}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 1 to get -3.

$$-4x<-\frac{3}{2}$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$x>\frac{-\frac{3}{2}}{-4}$$

Express \frac{-\frac{3}{2}}{-4} as a single fraction.

$$x>\frac{-3}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$x>\frac{-3}{-8}$$

Fraction \frac{-3}{-8} can be simplified to \frac{3}{8} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{3}{8}$$