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Earn +20 ptsQ: Why is a linear inequality is usefuln when there are many solutions?
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How many solutions does a linear inequality with two variables have?
Infinite.
How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
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.
How many real solutions does -42 have?
None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.
How many solutions do systems of linear inequalities have?
They can have none, one or infinitely many.
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