Solve aleq1/2(90-a)

$$a \leq \frac { 1 } { 2 } ( 90 - a )$$

Solve for a

$$a\leq 30$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by 90-a.

$$a\leq \frac{1}{2}\times 90+\frac{1}{2}\left(-1\right)a$$

Multiply \frac{1}{2} and 90 to get \frac{90}{2}.

$$a\leq \frac{90}{2}+\frac{1}{2}\left(-1\right)a$$

Divide 90 by 2 to get 45.

$$a\leq 45+\frac{1}{2}\left(-1\right)a$$

Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.

$$a\leq 45-\frac{1}{2}a$$

Add \frac{1}{2}a to both sides.

$$a+\frac{1}{2}a\leq 45$$

Combine a and \frac{1}{2}a to get \frac{3}{2}a.

$$\frac{3}{2}a\leq 45$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}. Since \frac{3}{2} is positive, the inequality direction remains the same.

$$a\leq 45\times \frac{2}{3}$$

Express 45\times \frac{2}{3} as a single fraction.

$$a\leq \frac{45\times 2}{3}$$

Multiply 45 and 2 to get 90.

$$a\leq \frac{90}{3}$$

Divide 90 by 3 to get 30.

$$a\leq 30$$