Solve -3p-2<1/2p

$$- 3 p - 2 < \frac { 1 } { 2 } p$$

Solve for p

$$p>-\frac{4}{7}$$

Solution Steps

Subtract \frac{1}{2}p from both sides.

$$-3p-2-\frac{1}{2}p<0$$

Combine -3p and -\frac{1}{2}p to get -\frac{7}{2}p.

$$-\frac{7}{2}p-2<0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-\frac{7}{2}p<2$$

Multiply both sides by -\frac{2}{7}, the reciprocal of -\frac{7}{2}. Since -\frac{7}{2} is negative, the inequality direction is changed.

$$p>2\left(-\frac{2}{7}\right)$$

Express 2\left(-\frac{2}{7}\right) as a single fraction.

$$p>\frac{2\left(-2\right)}{7}$$

Multiply 2 and -2 to get -4.

$$p>\frac{-4}{7}$$

Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

$$p>-\frac{4}{7}$$