1980 AHSME Problems/Problem 22

Problem

For each real number $x$ , let $f(x)$ be the minimum of the numbers $4x+1, x+2$ , and $-2x+4$ . Then the maximum value of $f(x)$ is

$\text{(A)} \ \frac{1}{3} \qquad \text{(B)} \ \frac{1}{2} \qquad \text{(C)} \ \frac{2}{3} \qquad \text{(D)} \ \frac{5}{2} \qquad \text{(E)}\ \frac{8}{3}$

Solution

$\fbox{E}$

1980 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 21	Followed by Problem 23
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1980 AHSME Problems/Problem 22

Problem

Solution

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