Solve -10<-4+1/2x

$$- 10 < - 4 + \frac { 1 } { 2 } x$$

Solve for x

$$x>-12$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-4+\frac{1}{2}x>-10$$

Add 4 to both sides.

$$\frac{1}{2}x>-10+4$$

Add -10 and 4 to get -6.

$$\frac{1}{2}x>-6$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}. Since \frac{1}{2} is positive, the inequality direction remains the same.

$$x>-6\times 2$$

Multiply -6 and 2 to get -12.

$$x>-12$$