An inequality is a mathematical sentence that uses symbols such as <, ≤,="">, or ≥ to compare two quantities.

Video Examples: How to Solve Inequalities

Example of Inequality

5 < d="">< 7,="" x="" ≥="" -="" 1,="">^{2} ≤ b, - 12 > - 13 are few examples of inequalities

Solved Example on Inequality

Ques: Pick an appropriate graph for the inequality - 3 < x="" and="" x="">< 2="">

Choices:

A. Figure 1
B. Figure 2
C. Figure 3
D. None of the above
Correct Answer: C

Solution:

Step 1: - 3 < x="">< 2="" [combine="" into="" one="">
Step 2: The compound inequality may be read as 'x is greater than - 3 and less than 2'.
Step 3: The graph of this compound inequality is
Step 4: So, Figure 3 represents the given inequality.