Inequality is an equation where two sides of the equations are unequal. Inequality is the equation which has less than or greater than symbols in it i.e. '<' and '>' respectively. An inequality equation can contain variables, constants and exponents for the variables. Variable is an unknown varying quantity it can be represented by an alphabet such as (x, y, z, m, n….). There are different mathematical operations that can be used in an inequality like addition, subtraction, multiplication and division.
Example 1: Find the solution of the inequality equation x - 4 > 6?
Solution: Given is the inequality equation with one unknown variables x.
The inequality x - 4 > 6 has a greater than sign.
Add 4 on both sided of the equation.
This gives, x - 4 + 4 > 6 + 4.
Here one side the positive and negative 4 combine to form 0.
The other side 6 + 4 = 10. This gives: x + 0 > 10.
Hence the solution to the inequality is x > 10.
Question: Multiple choice question (Pick the correct option.)
Which one of the following is the answer for the inequality m < 9 - 4?
a) m > 5 b) m < 5 c) m = 5 d) None of these.
Correct answer: option a.
Here given is the inequality m < 9 - 4. (Lesser than symbol.)
The inequality can be simplified on the right hand side 9 – 4 = 5.
This is gives m < 5.