Solve 5/4-a/2>0

$$\frac { 5 } { 4 } - \frac { a } { 2 } > 0$$

Solve for a

$$a<\frac{5}{2}$$

Solution Steps

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

$$5-2a>0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-2a>-5$$

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

$$a<\frac{-5}{-2}$$

Fraction \frac{-5}{-2} can be simplified to \frac{5}{2} by removing the negative sign from both the numerator and the denominator.

$$a<\frac{5}{2}$$