Solve 4-8yleq3y-21

$$4-8y \leq 3y-21$$

Solve for y

$$y\geq \frac{25}{11}$$

Solution Steps

Subtract 3y from both sides.

$$4-8y-3y\leq -21$$

Combine -8y and -3y to get -11y.

$$4-11y\leq -21$$

Subtract 4 from both sides.

$$-11y\leq -21-4$$

Subtract 4 from -21 to get -25.

$$-11y\leq -25$$

Divide both sides by -11. Since -11 is negative, the inequality direction is changed.

$$y\geq \frac{-25}{-11}$$

Fraction \frac{-25}{-11} can be simplified to \frac{25}{11} by removing the negative sign from both the numerator and the denominator.

$$y\geq \frac{25}{11}$$