Solve -4/2geq2-5x/4

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

Solve for x

$$x\geq 2$$

Solution Steps

Multiply both sides of the equation by 4, the least common multiple of 2,4. Since 4 is positive, the inequality direction remains the same.

$$-2\times 4\geq 2-5x$$

Multiply -2 and 4 to get -8.

$$-8\geq 2-5x$$

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

$$2-5x\leq -8$$

Subtract 2 from both sides.

$$-5x\leq -8-2$$

Subtract 2 from -8 to get -10.

$$-5x\leq -10$$

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

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

Divide -10 by -5 to get 2.

$$x\geq 2$$