Solve 2x/3-1>4-x/4

$$\frac{ 2x }{ 3 } -1 > 4- \frac{ x }{ 4 }$$

Solve for x

$$x>\frac{60}{11}$$

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 3,4. Since 12 is positive, the inequality direction remains the same.

$$4\times 2x-12>48-3x$$

Multiply 4 and 2 to get 8.

$$8x-12>48-3x$$

Add 3x to both sides.

$$8x-12+3x>48$$

Combine 8x and 3x to get 11x.

$$11x-12>48$$

Add 12 to both sides.

$$11x>48+12$$

Add 48 and 12 to get 60.

$$11x>60$$

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

$$x>\frac{60}{11}$$