1st Semester Final Exam 12-19-24

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

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What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

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How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

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What is the significance of the shaded region in a graph of an inequality?

Back

The shaded region represents all the possible solutions to the inequality.

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What does it mean for a solution to be 'located on the line' in the context of inequalities?

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It means that the point satisfies the equation of the line, but whether it is included in the solution set depends on whether the line is solid or dotted.