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alexandr1967 [171]
2 years ago
9

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

Mathematics
2 answers:
jek_recluse [69]2 years ago
8 0

Answer:

C

Step-by-step explanation:

ipn [44]2 years ago
5 0

Answer:

We have to determine the graph of the given inequality as:

x^2+2x+1>0

on solving this equation we get:

(x+1)^2>0

Since we know that:

(x+1)^2=x^2+1^2+2\times x\times 1\\\\(x+1)^2=x^2+1+2x

Now we know that when x=-1 the value of:

(x+1)^2=0

Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.

Hence, range of the function in intervals could be written as:

(-∞,-1)∪(-1,∞).

Hence, the graph of the function will be the whole of the number line with a open circle on -1.

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