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Writing and Graphing One-Variable Inequalities

Writing and Graphing One-Variable Inequalities 1.4 - Solution

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a
To determine if it's a solution or not, should be substituted with in the inequality. Then, if the inequality holds true, is a solution.
The statement says that is greater than This is a false statement, so is not a solution to the inequality.
b
If is a solution, the inequality will hold true when is substituted for If it doesn't, it's not a solution.
Since the symbol is read as less than or equal to is a true statement. Therefore, the answer is yes, is a solution.
c
We'll substitute with and simplify the left-hand side to determine if the inequality holds true.
When comparing two negative numbers, the one closest to zero is the greatest. This can be visualized on a number line.

This means that is greater than This means that the inequality doesn't hold true for and is, thus, not a solution to the inequality.