Solve 9/4-2ageq0

$$\frac { 9 } { 4 } - 2 a \geq 0$$

Solve for a

$$a\leq \frac{9}{8}$$

Solution Steps

Subtract \frac{9}{4} from both sides. Anything subtracted from zero gives its negation.

$$-2a\geq -\frac{9}{4}$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$a\leq \frac{-\frac{9}{4}}{-2}$$

Express \frac{-\frac{9}{4}}{-2} as a single fraction.

$$a\leq \frac{-9}{4\left(-2\right)}$$

Multiply 4 and -2 to get -8.

$$a\leq \frac{-9}{-8}$$

Fraction \frac{-9}{-8} can be simplified to \frac{9}{8} by removing the negative sign from both the numerator and the denominator.

$$a\leq \frac{9}{8}$$