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Solev the inequality. Give the solution set in interval form. 32>x^2+4

x^2+4 < 32

x^2-28 < 0
Now use what you know about parabolas. Since this one opens up, y will be negative between the roots. So,
x is in (-√28,√28)

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When solving an inequality, it is important to pay attention to the signs of the expressions involved. For example, when solving the inequality 32 > x^2 + 4, we need to isolate the variable x. By subtracting 4 from both sides of the inequality, we get 28 > x^2. To find the solution set in interval form, we need to consider the signs of the expressions involved. Since x^2 is always non-negative (it can only be zero or positive), we know that the solution set will be on the right side of the number line. Therefore, the solution set in interval form is (−∞, √28) ∪ (−√28, ∞), indicating that any value of x that is less than the square root of 28 or greater than the negative square root of 28 will satisfy the inequality.