Solve 5x+2/4leq2x-1

$$\frac { 5 x + 2 } { 4 } \leq 2 x - 1$$

Solve for x

$$x\geq 2$$

Solution Steps

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

$$5x+2\leq 8x-4$$

Subtract 8x from both sides.

$$5x+2-8x\leq -4$$

Combine 5x and -8x to get -3x.

$$-3x+2\leq -4$$

Subtract 2 from both sides.

$$-3x\leq -4-2$$

Subtract 2 from -4 to get -6.

$$-3x\leq -6$$

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

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

Divide -6 by -3 to get 2.

$$x\geq 2$$