1. **State the problem:** Write the intervals describing the given inequalities using interval notation. 2. **For i) $x \succ 3$: **This means all real numbers greater than 3, not including 3 itself. Interval notation is $$ (3, \infty) $$. 3. **For ii) $-7 < x < -2$: **This means $x$ is greater than $-7$ and less than $-2$, excluding both endpoints. Interval notation is $$ (-7, -2) $$. 4. **For iii) $x$ is greater than $-3$ and less than or equal to $4$: **This means $x$ is in the range $$-3 < x \leq 4$$. Interval notation is $$ (-3, 4] $$. Therefore, the interval notations are: - i) $ (3, \infty) $ - ii) $ (-7, -2) $ - iii) $ (-3, 4] $