Solve -5geq5-3x/4

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

Solve for x

$$x\geq \frac{25}{3}$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

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

Multiply -5 and 4 to get -20.

$$-20\geq 5-3x$$

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

$$5-3x\leq -20$$

Subtract 5 from both sides.

$$-3x\leq -20-5$$

Subtract 5 from -20 to get -25.

$$-3x\leq -25$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\geq \frac{-25}{-3}$$

Fraction \frac{-25}{-3} can be simplified to \frac{25}{3} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{25}{3}$$