Math  /  Algebra

QuestionSolve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x2+8x+15>0x^{2}+8 x+15>0

Studdy Solution
We wanted to find where x2+8x+15>0x^2 + 8x + 15 > 0.
Based on our testing, the expression is **positive** when x<5x < -5 and x>3x > -3.
So, our solution set in interval notation is (,5)(3,)(-\infty, -5) \cup (-3, \infty).
On the number line, we'd have open circles at 5-5 and 3-3, with arrows pointing outwards in both directions.

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