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Find the smallest integer that satisfies the inequality: (x - 5)(x + 5)(x - 3) > 0.

 Feb 19, 2024
 #1
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To make a positive with 3 terms, you can have positive * positive * positive = positive, or positive * negative * negative = positive. To ensure x is the smallest, we probably take the latter option. To minimize x, (x - 5) and (x - 3) would be logical to be negative, whereas (x + 5) would be positive. If x + 5 > 0, subtract 5 from both sides and you get x > -5. The smallest integer greater than -5 is x = -4.

 Feb 19, 2024

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