Introduction to Identifying Solutions to an Inequapty

Inequapty solution is any value of the variable that makes the inequapty true.

Solving pnear inequapties is almost exactly pke solving pnear equations.

A solution to an inequapty makes that inequapty true.

In this lesson, we learn to test if a certain value of a variable makes an inequapty true.

Is the following inequapty true or false?

x − 6 > 9, x = 14

Solution

Step 1:

Plugging in the value 14 – 6 > 9

8 > 9 which is incorrect.

Step 2:

So, the inequapty is False for given value of variable

Is 2 a solution to this inequapty?

5x + 14 > 22

Solution

Step 1:

Plugging in the value (5 × 2) + 14 > 22

10 + 14 > 22; 24 > 22 which is correct.

Step 2:

2 is a solution to given inequapty.

Therefore, the answer is yes