C1 Exercise 3E Question 3a
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- mathsurgery.wikispaces
Find the set of values of for which and
To solve this type of problem:
(i) factorise the quadratic and use this to sketch it. Here becomes , hence roots at and .
(ii) think about the values of which satisfy the quadratic inequality by considering whether you want the quadratic function to be < 0 or > 0.
(iii) solve the linear inequality
(iv) either simply by comparing your answers to (iii) and (iv) or by drawing them both on a number line and seeing where they're both true...
(v) find the range of values for that satisfy both inequalities.