#### Answer

a) A $\bigcap$ C = {$x | -1 \lt x \leq 5$}
b) A $\bigcap$ B = {$x | -2 \leq x \lt 4$}

#### Work Step by Step

a) A intersect C means that numbers that are in both A and C are included, therefore, those greater or equal to -2 can be used according to A, but only those greater than -1 and less than or equal to five can be used according to C, so you can only include those in set C.
b) A intersect B means that only numbers in both A and B are included, therefore, you can only use numbers greater than or equal to negative two according to set A, and only those less than four according to set B.