Answer
a) The inequality $-2 \lt x \leq 7$ represents the interval notation $(-2,7]$.
b) The interval notation $(7, \infty)$ represents the inequality $y \gt 7$.

Work Step by Step
a) The inequality $-2 \lt x \leq 7$ represents the interval notation $(-2,7]$.
b) The interval notation $(7, \infty)$ represents the inequality $y \gt 7$.
