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What is the correct interval notation for x < 5?

Answer and explanation

Correct answer: (-∞, 5)

The inequality x < 5 describes all real numbers that are smaller than 5. The endpoint 5 is excluded because the inequality is strict, so a parenthesis is used at 5. The values extend indefinitely to the left, toward negative infinity. Infinity is never included, so a parenthesis is used there as well. Thus, the correct interval is (-∞, 5).

Related tags

SetsInterval NotationOpen EndpointLess ThanLinear InequalityRepresentation On Number LineLinear InequalitiesMathematics

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