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

Question

contestada

Respuesta :

smithm29 smithm29 · Answer 1 · 2019-08-01T19:37:34+02:00

Answer:

D

Step-by-step explanation:

Answer Link

slicergiza slicergiza · Answer 2 · 2019-09-09T17:42:06+02:00

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.