Linear Inequalities - SAT Math
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What happens when you add or subtract the same number from both sides of an inequality?
What happens when you add or subtract the same number from both sides of an inequality?
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The direction of the inequality stays the same.
The direction of the inequality stays the same.
What happens when you multiply or divide both sides of an inequality by a negative number?
What happens when you multiply or divide both sides of an inequality by a negative number?
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You must flip the inequality sign.
You must flip the inequality sign.
What happens when you multiply or divide both sides of an inequality by a positive number?
What happens when you multiply or divide both sides of an inequality by a positive number?
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The inequality direction stays the same.
The inequality direction stays the same.
What is the triangle inequality theorem?
What is the triangle inequality theorem?
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The sum of any two sides must be greater than the third side.
The sum of any two sides must be greater than the third side.
When is the solution of an inequality written with a closed circle on a number line?
When is the solution of an inequality written with a closed circle on a number line?
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When the inequality includes equality ($\le$ or $\ge$).
When the inequality includes equality ($\le$ or $\ge$).
Why can’t you multiply or divide an inequality by a variable unless you know its sign?
Why can’t you multiply or divide an inequality by a variable unless you know its sign?
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Because if the variable is negative, the inequality direction would flip; if positive, it wouldn’t.
Because if the variable is negative, the inequality direction would flip; if positive, it wouldn’t.