Solve x-3/4geq1+x/2

$$\frac { x - 3 } { 4 } \geq 1 + \frac { x } { 2 }$$

Solve for x

$$x\leq -7$$

Solution Steps

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

$$x-3\geq 4+2x$$

Subtract 2x from both sides.

$$x-3-2x\geq 4$$

Combine x and -2x to get -x.

$$-x-3\geq 4$$

Add 3 to both sides.

$$-x\geq 4+3$$

Add 4 and 3 to get 7.

$$-x\geq 7$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq -7$$