Track / Stage 4 / 98 of 340 #358 of 2000

7. If the inequality $|x-4|+|x-2|+|x-1|+|x| \geqslant a$ holds for all real numbers $x$, then the maximum possible value of $a$ is $\qquad$

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7. 5

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.