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

1 Answer
Dec 30, 2015

Answer:

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.