Solve 2-2n/3leq-7

$$\frac { 2 - 2 n } { 3 } \leq - 7$$

Solve for n

$$n\geq \frac{23}{2}$$

Solution Steps

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

$$2-2n\leq -7\times 3$$

Multiply -7 and 3 to get -21.

$$2-2n\leq -21$$

Subtract 2 from both sides.

$$-2n\leq -21-2$$

Subtract 2 from -21 to get -23.

$$-2n\leq -23$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$n\geq \frac{-23}{-2}$$

Fraction \frac{-23}{-2} can be simplified to \frac{23}{2} by removing the negative sign from both the numerator and the denominator.

$$n\geq \frac{23}{2}$$