Question

HELP PLS 20 POINTS!!!!!

Which of the following is the correct graph of the compound inequality 4p + 1 > −15 or 6p + 3 < 45?



A. number line with shading in both directions

B.number line with an open circle on negative 4 with shading to the left and an open circle on 7 with shading to the right

C. number line with an open circle on negative 4 with shading to the right and a closed circle on 7 with shading to the left

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

Answer 1

D

Explanation:

Answer 2

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

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.