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CSS Pure Mathematics QUESTION #1262
Question 1
Which of the following is the solution set of \(x^2+x>2\)?
  • (\(-\infty,-2)\cup(1,\infty)\)✔️
  • (\(-2,1\))
  • (\(-\infty,-1)\cup(2,\infty)\)
  • (\(-1,2\))
Correct Answer Explanation
Factor: \(x^2+x-2>0\Rightarrow(x+2)(x-1)>0\). The product is positive when both factors are positive (\(x>1\)) or both negative (\(x<-2\)). Solution: \(x\in(-\infty,-2)\cup(1,+\infty)\).