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Euclid R2Drew2 Edition Paper 1 · Q8

Paper 1Algebra

For real xx, define

F(x)=∣x2−5x∣+∣x2−5x+4∣.F(x)=|x^2-5x|+|x^2-5x+4|.

The set of values of xx for which F(x)F(x) is least consists of two closed intervals.

What is the sum of the lengths of these intervals?

A11
B22
C52\frac52
D33
E32\frac32
F44

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