Question

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

Answer 1

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

Explanation:

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

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

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

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

`16-2c-16<14-16`

`-2c<-2`

Now we have `2c` 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.

`(-2c)/-2 > -2/-2` See how the inequality is flipped.

`c>2` is the solution.