Solve 13+1/2geq9(4/3)-5

$$\frac { 13 + 1 } { 2 } \geq 9 ( \frac { 4 } { 3 } ) - 5$$

Verify

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.

$$3\left(13+1\right)\geq 54\times \frac{4}{3}-30$$

Add 13 and 1 to get 14.

$$3\times 14\geq 54\times \frac{4}{3}-30$$

Multiply 3 and 14 to get 42.

$$42\geq 54\times \frac{4}{3}-30$$

Express 54\times \frac{4}{3} as a single fraction.

$$42\geq \frac{54\times 4}{3}-30$$

Multiply 54 and 4 to get 216.

$$42\geq \frac{216}{3}-30$$

Divide 216 by 3 to get 72.

$$42\geq 72-30$$

Subtract 30 from 72 to get 42.

$$42\geq 42$$

Compare 42 and 42.

$$\text{true}$$