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Solution of an Inequality
A solution of an inequality is any value of the variable that produces a true statement when substituted into the inequality. This concept parallels the definition of a solution to an equation, but with a crucial difference: while an equation typically has one solution, an inequality usually has infinitely many solutions. For example, the inequality is satisfied by , , , and even — in fact, every number greater than is a solution. The complete collection of all values that satisfy the inequality is called the solution set.
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Learn After
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