How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

Let y = x². The product (y − 4)(y − 10) is negative when y lies between 4 and 10, so 4 < x² < 10. The only integer square in that range is 9, giving x = −3 or x = 3. Thus, two integers satisfy the inequality: choice B, “two.”

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