Formative 7b

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What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system simultaneously.

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What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

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What does the symbol '<' represent in inequalities?

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The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

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What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

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What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

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When do you use a solid line when graphing inequalities?

Back

A solid line is used when the inequality includes '≤' or '≥', indicating that points on the line are included in the solution set.

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When do you use a dashed line when graphing inequalities?

Back

A dashed line is used when the inequality includes '<' or '>', indicating that points on the line are not included in the solution set.

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How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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