Solve -1/2-4x<15/2

$$\frac { - 1 } { 2 } - 4 x < \frac { 15 } { 2 }$$

Solve for x

$$x>-2$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}-4x<\frac{15}{2}$$

Add \frac{1}{2} to both sides.

$$-4x<\frac{15}{2}+\frac{1}{2}$$

Since \frac{15}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$-4x<\frac{15+1}{2}$$

Add 15 and 1 to get 16.

$$-4x<\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$-4x<8$$

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

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

Divide 8 by -4 to get -2.

$$x>-2$$