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Solve the inequality 3x2 > 27. -3 < x < 3 x < -3 only x < -3 or x > 3 x > -3 only

Question

Solve the inequality 3x2 > 27. -3 < x < 3 x < -3 only x < -3 or x > 3 x > -3 only

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Solution

The inequality is 3x^2 > 27.

Step 1: Divide both sides by 3 to simplify the inequality: x^2 > 9

Step 2: Take the square root of both sides. Remember that when you take the square root of both sides of an inequality, you get two solutions - one positive and one negative: x > 3 or x < -3

So the solution to the inequality 3x^2 > 27 is x < -3 or x > 3.

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