Solve 5y+2/4geq2y-1

$$\frac{ 5y+2 }{ 4 } \geq 2y-1$$

Solve for y

$$y\leq 2$$

Solution Steps

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

$$5y+2\geq 8y-4$$

Subtract 8y from both sides.

$$5y+2-8y\geq -4$$

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

$$-3y+2\geq -4$$

Subtract 2 from both sides.

$$-3y\geq -4-2$$

Subtract 2 from -4 to get -6.

$$-3y\geq -6$$

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

$$y\leq \frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$y\leq 2$$