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The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.

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ProfBot

3mo ago

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Related Questions

What is solving inequalities?

It means to find all the numbers for which the inequality is true.


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To determine which values from the set {1, 2, 3, 4, 5} make the inequality n < 26 true, we need to find all numbers in the set that are less than 26. In this case, the values that satisfy the inequality are 1, 2, 3, 4, and 5. Therefore, the values from the set {1, 2, 3, 4, 5} that make the inequality n < 26 true are 1, 2, 3, 4, and 5.


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Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.


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that would be limited to 3 and -3 for values of x


What does it mean to describe all of the numbers that satisfy both inequalities?

I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.


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