Solve 6geq10-2/5x

$$6 \geq 10 - \frac { 2 } { 5 } x$$

Solve for x

$$x\geq 10$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$10-\frac{2}{5}x\leq 6$$

Subtract 10 from both sides.

$$-\frac{2}{5}x\leq 6-10$$

Subtract 10 from 6 to get -4.

$$-\frac{2}{5}x\leq -4$$

Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}. Since -\frac{2}{5} is negative, the inequality direction is changed.

$$x\geq -4\left(-\frac{5}{2}\right)$$

Express -4\left(-\frac{5}{2}\right) as a single fraction.

$$x\geq \frac{-4\left(-5\right)}{2}$$

Multiply -4 and -5 to get 20.

$$x\geq \frac{20}{2}$$

Divide 20 by 2 to get 10.

$$x\geq 10$$