Solve xleq(300-x)1/3

$$x \leq ( 300 - x ) \frac { 1 } { 3 }$$

Solve for x

$$x\leq 75$$

Solution Steps

Use the distributive property to multiply 300-x by \frac{1}{3}.

$$x\leq 300\times \frac{1}{3}-x\times \frac{1}{3}$$

Multiply 300 and \frac{1}{3} to get \frac{300}{3}.

$$x\leq \frac{300}{3}-x\times \frac{1}{3}$$

Divide 300 by 3 to get 100.

$$x\leq 100-x\times \frac{1}{3}$$

Multiply -1 and \frac{1}{3} to get -\frac{1}{3}.

$$x\leq 100-\frac{1}{3}x$$

Add \frac{1}{3}x to both sides.

$$x+\frac{1}{3}x\leq 100$$

Combine x and \frac{1}{3}x to get \frac{4}{3}x.

$$\frac{4}{3}x\leq 100$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}. Since \frac{4}{3} is positive, the inequality direction remains the same.

$$x\leq 100\times \frac{3}{4}$$

Express 100\times \frac{3}{4} as a single fraction.

$$x\leq \frac{100\times 3}{4}$$

Multiply 100 and 3 to get 300.

$$x\leq \frac{300}{4}$$

Divide 300 by 4 to get 75.

$$x\leq 75$$