Solve 7/8xgeq-6

$$\frac { 7 } { 8 } x \geq - 6$$

Solve for x

$$x\geq -\frac{48}{7}$$

Solution Steps

Multiply both sides by \frac{8}{7}, the reciprocal of \frac{7}{8}. Since \frac{7}{8} is positive, the inequality direction remains the same.

$$x\geq -6\times \frac{8}{7}$$

Express -6\times \frac{8}{7} as a single fraction.

$$x\geq \frac{-6\times 8}{7}$$

Multiply -6 and 8 to get -48.

$$x\geq \frac{-48}{7}$$

Fraction \frac{-48}{7} can be rewritten as -\frac{48}{7} by extracting the negative sign.

$$x\geq -\frac{48}{7}$$