WinterMultiStep,Compound,AbsoluteValue Inequality & Interval Not

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What is an absolute value inequality?

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An absolute value inequality is an inequality that contains an absolute value expression, which measures the distance of a number from zero on the number line.

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How do you solve an absolute value inequality of the form |x| < a?

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To solve |x| < a, split it into two inequalities: -a < x < a.

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What does the symbol '≤' mean in inequalities?

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The symbol '≤' means 'less than or equal to', indicating that the value can be less than or equal to a specified number.

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What does the symbol '≥' mean in inequalities?

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The symbol '≥' means 'greater than or equal to', indicating that the value can be greater than or equal to a specified number.

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How do you represent the solution of an inequality on a number line?

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The solution of an inequality is represented by shading the region of the number line that satisfies the inequality, with open or closed circles indicating whether endpoints are included.

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What is a compound inequality?

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A compound inequality combines two inequalities, typically connected by 'and' or 'or', to describe a range of values.

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How do you solve a compound inequality of the form a < x < b?

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To solve a compound inequality a < x < b, find the intersection of the solutions of the two inequalities.

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What does 'or' mean in compound inequalities?

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In compound inequalities, 'or' indicates that the solution can satisfy either of the inequalities.

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What does 'and' mean in compound inequalities?

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In compound inequalities, 'and' indicates that the solution must satisfy both inequalities simultaneously.

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What is the winter solstice?

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The winter solstice is the shortest day of the year, marking the beginning of winter in the Northern Hemisphere, occurring around December 21 or 22.