give 2 inequalities which do not have a common solution ?
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Absolute Value Inequalities. Here are the steps to follow when solving absolute value inequalities: Isolate the absolute value expression on the left side of the inequality. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
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How many solution sets do systems of linear inequalities have?
There is only one solution set. The set can contain any number of solutions, infinitely many, or no solution.
Do solutions to systems of linear inequalities need to satisfy both inequalities?
There can be more than two inequalities in a system. Yes, each solution must satisfy every inequality in the system.
In what case might they not?
Never.
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