Solve 5(3(+1)/3>2+-4/6+1/2

$$\frac { 5 ( 3 ( + 1 ) } { 3 } > \frac { 2 + - 4 } { 6 } + \frac { 1 } { 2 }$$

Verify

Solution Steps

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

$$2\times 5\times 3\times 1>2-4+3$$

Multiply 2 and 5 to get 10.

$$10\times 3\times 1>2-4+3$$

Multiply 10 and 3 to get 30.

$$30\times 1>2-4+3$$

Multiply 30 and 1 to get 30.

$$30>2-4+3$$

Subtract 4 from 2 to get -2.

$$30>-2+3$$

Add -2 and 3 to get 1.

$$30>1$$

Compare 30 and 1.

$$\text{true}$$