Solve 6-1/2-2-3/4geq1

$$\frac{ 6-1 }{ 2 } - \frac{ 2-3 }{ 4 } \geq 1$$

Verify

Solution Steps

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

$$2\left(6-1\right)-\left(2-3\right)\geq 4$$

Subtract 1 from 6 to get 5.

$$2\times 5-\left(2-3\right)\geq 4$$

Multiply 2 and 5 to get 10.

$$10-\left(2-3\right)\geq 4$$

Subtract 3 from 2 to get -1.

$$10-\left(-1\right)\geq 4$$

The opposite of -1 is 1.

$$10+1\geq 4$$

Add 10 and 1 to get 11.

$$11\geq 4$$

Compare 11 and 4.

$$\text{true}$$