# How do you solve the inequality 16 - 2c < 14?

Dec 30, 2015

Step by step solution of solving the linear inequality is given below. Please go through the explanation.

#### Explanation:

To solve the inequality $16 - 2 c < 14$

Start by isolating the term containing the variable. This part is done as we do for equality.

$16 - 2 c < 14$ we see $16$ is added to $- 2 c$

Using inverse or opposite operation to addition to remove the $16$

$16 - 2 c - 16 < 14 - 16$

$- 2 c < - 2$

Now we have $2 c$ term isolated. We move on to the next step of isolating $c$.

Note of caution : When we multiply or divide both sides of inequality by a negative sign, the inequality flips. The most common error is ' not flipping the inequality ' so watchout.

$\frac{- 2 c}{-} 2 > - \frac{2}{-} 2$ See how the inequality is flipped.

$c > 2$ is the solution.