Solving, Graphing and Interpreting Compound Inequalities

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What is a compound inequality?

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What does the symbol '≤' mean?

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The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

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The solution is represented by shading to the right of 2 and to the left of -1 on a number line, indicating all values greater than 2 and less than -1.

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What is the difference between 'and' and 'or' in compound inequalities?

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In compound inequalities, 'and' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.

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Write the inequality for the situation: You can score no more than 100 points on a test.

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It means that the value of x cannot exceed 20, such as spending no more than 20 dollars.

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It represents all values of x that are greater than 2 and less than 5, or the interval (2, 5).