Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'.

Front

What does 'and' mean in a compound inequality?

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In a compound inequality, 'and' indicates that both conditions must be true simultaneously.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' indicates that at least one of the conditions must be true.

Front

How do you solve a compound inequality with 'and'?

Back

To solve a compound inequality with 'and', solve each inequality separately and find the intersection of the solutions.

Front

How do you solve a compound inequality with 'or'?

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To solve a compound inequality with 'or', solve each inequality separately and combine the solutions.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

Front

What does the notation (a, b) represent in interval notation?

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The notation (a, b) represents an open interval, meaning that a and b are not included in the interval.

Front

What does the notation [a, b] represent in interval notation?

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The notation [a, b] represents a closed interval, meaning that a and b are included in the interval.

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What does the notation (-∞, a) represent in interval notation?

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The notation (-∞, a) represents all real numbers less than a, with a not included.

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What does the notation (a, ∞) represent in interval notation?

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The notation (a, ∞) represents all real numbers greater than a, with a not included.