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Q.

The inequality 12x6−2x4<2x2 is valid for x belongs to

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a

R

b

(0,∞)

c

(−∞,−1)∪(−1,∞)

d

(−∞,−1)∪(−1,0)∪(0,1)∪(1,∞)

answer is D.

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Detailed Solution

22x4-x6 <2x2⇒2x4-x60⇒x2x4-2x2+1>0 ⇒x2(x−1)2(x+1)2>0 which is true always except at x=0,1,−1
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