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1) Replace the inequality signs in the solution and in the original question with = signs. Substitute the solution inn the question: it should make it true.

2) (Back to the inequalities) Pick another number that satisfies the solution inequality - e.g. if x>2, pick 5. Substitute this into the original inequality: if it makes it true, then you are good to go!

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Q: How do you check your solution with inequalities?
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Does checking just one inequality guarantee that a solution is correct?

Check all of the inequalities.


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A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.


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