
Concept explainers
To solve:the given inequality by using a graph or algebraically.

Answer to Problem 34PPS
{x|x<−6 or x>−2}
Explanation of Solution
Given:
The given inequalityis x2+8x+12>0 .
Calculation:
The turning point in a given curve in the graph is defined as the relative
Consider the graph given in the question:
a.
Consider below given graph:
The x-coordinate of every turning point A, B, C and D isandrespectively.
The
Hence, the relative maximum is atand the relative minimum is at.
b.
Consider below given graph:
The zeroes is the intersecting point of the curve over the-axis of the graph. Those points are A, B and C.
Hence, the required coordinates of the zeroes are.
c.
As, there are three real zeroes for the three intersection of the curve against the -axis of the graph. So, the smallest possible degree of the function is.
d.
Every polynomial is valid all over the real line. Let D stands for domain and R stands range, hence, the required domain and the range is:
Therefore, the solution for the given inequality is {x|x<−6 or x>−2} .
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