WEBVTT

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Here is the problem: x squared less than 0.

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Solve the inequality and give the answer in interval notation.

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Move everything to one side and factor. A sign chart needs the form f(x) compared with 0, written as a product/quotient of factors.

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Find the critical points. The sign can only change at 0 (zero).

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Test one point in each interval (sign chart). (-∞, 0): test x equals negative 1 → sign plus → excluded; (0, ∞): test x equals 1 → sign plus → excluded.

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Decide the endpoints. 0: excluded.

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Write the solution set.

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So the answer is No solution (∅).

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No real number satisfies the inequality.

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x equals negative 1: does not satisfy the inequality.

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x equals 1: does not satisfy the inequality.