Past Papers’ Solutions  Assessment & Qualification Alliance (AQA)  AS & A level  Mathematics 6360  Pure Core 1 (6360MPC1)  Year 2011  June  Q#7
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Question
Solve each of the following inequalities:
a.
b.
Solution
a.
b.
We solve the following equation to find critical values of ;
Now we have two options;









Hence the critical points on the curve for the given condition are & .
Standard form of quadratic equation is;
The graph of quadratic equation is a parabola. If (‘a’ is positive) then parabola opens upwards and its vertex is the minimum point on the graph.
If (‘a’ is negative) then parabola opens downwards and its vertex is the maximum point on the graph.
We recognize that equation is a quadratic equation representing upwards opening parabola.
Therefore conditions for are;
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