Solve 5x/2-2x/3geq2

$$\frac { 5 x } { 2 } - \frac { 2 x } { 3 } \geq 2$$

Solve for x

$$x\geq \frac{12}{11}$$

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.

$$3\times 5x-2\times 2x\geq 12$$

Multiply 3 and 5 to get 15.

$$15x-2\times 2x\geq 12$$

Multiply -2 and 2 to get -4.

$$15x-4x\geq 12$$

Combine 15x and -4x to get 11x.

$$11x\geq 12$$

Divide both sides by 11. Since 11 is positive, the inequality direction remains the same.

$$x\geq \frac{12}{11}$$