Solve -8geq-10+n/3

$$- 8 \geq - \frac { 10 + n } { 3 }$$

Solve for n

$$n\geq 14$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$$-24\geq -\left(10+n\right)$$

To find the opposite of 10+n, find the opposite of each term.

$$-24\geq -10-n$$

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

$$-10-n\leq -24$$

Add 10 to both sides.

$$-n\leq -24+10$$

Add -24 and 10 to get -14.

$$-n\leq -14$$

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

$$n\geq \frac{-14}{-1}$$

Fraction \frac{-14}{-1} can be simplified to 14 by removing the negative sign from both the numerator and the denominator.

$$n\geq 14$$