Solve -6geq4-5x/3

$$- 6 \geq \frac { 4 - 5 x } { 3 }$$

Solve for x

$$x\geq \frac{22}{5}$$

Solution Steps

Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$-6\times 3\geq 4-5x$$

Multiply -6 and 3 to get -18.

$$-18\geq 4-5x$$

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

$$4-5x\leq -18$$

Subtract 4 from both sides.

$$-5x\leq -18-4$$

Subtract 4 from -18 to get -22.

$$-5x\leq -22$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x\geq \frac{-22}{-5}$$

Fraction \frac{-22}{-5} can be simplified to \frac{22}{5} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{22}{5}$$