Answer:
D. number line with an open circle on negative with shading to the right and an open circle on 7 with shading to the left
Step-by-step explanation:
Given compound inequality,
4p + 1 > −15 or 6p + 3 < 45
4p > −15 - 1 or 6p < 45 - 3
4p > −16 or 6p < 42
p > −4 or p < 7
⇒ -4 < p < 7
⇒ p ∈ ( -4, 7)
That is, in the number line with an open circle on negative 4 with shading to the right and an open circle on 7 with shading to the left,
OPTION D is correct.
