Solve 7*27-1/3geq2+2/2-1

$$7 \cdot \frac { 27 - 1 } { 3 } \geq \frac { 2 + 2 } { 2 } - 1$$

Verify

Solution Steps

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

$$14\left(27-1\right)\geq 3\left(2+2\right)-6$$

Subtract 1 from 27 to get 26.

$$14\times 26\geq 3\left(2+2\right)-6$$

Multiply 14 and 26 to get 364.

$$364\geq 3\left(2+2\right)-6$$

Add 2 and 2 to get 4.

$$364\geq 3\times 4-6$$

Multiply 3 and 4 to get 12.

$$364\geq 12-6$$

Subtract 6 from 12 to get 6.

$$364\geq 6$$

Compare 364 and 6.

$$\text{true}$$