Question

|14c+5|>7
How can I graph this?

Answer 1

Explanation:

step 1: Absolute value inequality entered

|14c+5| > 7

step 2: Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |14c+5|

For the Negative case we'll use -(14c+5)

For the Positive case we'll use (14c+5)

step 3: -(14c+5) > 7

Multiply

-14c-5 > 7

Rearrange and Add up

-14c > 12

Divide both sides by 14

-c > (6/7)

Multiply both sides by (-1)

Remember to flip the inequality sign

c < -(6/7)

Which is the solution for the Negative Case

step 4:

(14c+5) > 7

Rearrange and Add up

14c > 2

Divide both sides by 14

c > (1/7)

Which is the solution for the Positive Case

c < -6/7

c > 1/7