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Welcome to our Math lesson on What are Inequalities?, this is the first lesson of our suite of math lessons covering the topic of Solving Linear Inequalities, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Unlike in equations, where the left part is always equal to the right one, inequalities are mathematical sentences composed of two mathematical expressions, where the expression on the left side is not equal to that on the right side.
We use four symbols to represent inequalities. They are:
" > ", which means "greater than";
" < ", which means "smaller than";
" ≥ ", which means "greater than or equal to"; and
" ≤ ", which means "smaller than or equal to".
For example, we read the inequality 3 - 2x ≥ 5y as "3 - 2x is greater than or equal to 5y."
If an inequality bears one of the two double signs written above, it is sufficient that only one of the conditions meets to make the inequality true. For example, the inequality 5 ≤ 7 is true because one of the conditions, 5 < 7 is met.
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