Combination of r Things from n Things When All Are Not Different
The solution ...
Question
The solution set of x2−7x+1014x−x2−45≥0 is
A
[2,9]
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B
[2,9)
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C
[2,5)∪(5,9)
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D
[2,5)∪(5,9]
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Solution
The correct option is C[2,5)∪(5,9) Given x2−7x+1014x−x2−45≥0 ⇒x2−7x+10x2−14x+45≤0⇒(x−2)(x−5)(x−5)(x−9)≤0⇒x−2x−9≤0[∵x≠5] From wavy curve method, x∈[2,9)−{5}