Answer
a) $C\cup D=\{x|-1\lt x\leq2\}$
b) $C\cap D=\{x|0\lt x\leq1\}$
Work Step by Step
a) $C\cup D$ is the set of all elements that are either in C or D. Thus $C\cup D=\{x|-1\lt x\leq2\}$
b) $C\cap D$ is the set of all elements that are both in C or D. Thus $C\cap D=\{x|0\lt x\leq1\}$