Answer
$A\cup B=\{1980, 1990, 2000\}$
Work Step by Step
$A=\{x|x$ was a year in which more than $34\%$ were very happy$\}$
$B=\{x|x$ was a year in which fewer than $14\%$ were not too happy$\}$
$A\cup B=?$
From the graph we can see that:
$A=\{1980, 1990\}$
$B=\{1980, 1990, 2000\}$
$A\cup B=\{1980, 1990, 2000\}$