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CSS Pure Mathematics QUESTION #4092
Question 1
The solution set of the inequality \(x^2+x>2\) is:
  • \((-2,1)\)
  • \((-\infty,-2)\cup(1,\infty)\)✔️
  • \([-2,1]\)
  • \((-1,2)\)
Correct Answer Explanation
Factor: \(x^2+x-2=(x+2)(x-1)>0\). Product of two factors is positive when both are positive (\(x>1\)) or both are negative (\(x<-2\)). Solution: \((-\infty,-2)\cup(1,\infty)\).