10th Class Mathematics Related to Competitive Exam Question Bank Quadratic Inequation

  • question_answer
    Find the range of values that x can take in the in equation \[(x-1)(x-6)>0\]

    A)  \[(-\infty ,1)\cup (6,\infty )\]        

    B)  \[[6,1]\]

    C)  \[(1,6)\]                        

    D)  \[(-\infty ,1)\cup (7,\infty )\]

    Correct Answer: A

    Solution :

    (a): For all greater than inequalities of the type, \[\left( x-a \right)\left( x-b \right)>0\];   \[a<b\] the solution is, \[x\in \left( -\infty ,a \right)\cup \left( b,\infty  \right)\]; Since here \[a=1,b=6,\therefore \] the answer is \[x\in \left( -\infty ,1 \right)\cup \left( 6,\infty  \right)\]


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