Question

PLEASE HELP ME  Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33? (1 point) a number line with open circles at negative 2 and 5 with shading in between. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right number line with shading everywhere. number line with open dot at negative 2 and a closed dot at 5 with shading in between

Answer 1

Answer with explanation:

The two compound Inequality is

1. →→4 p +1 > -7

 Subtracting , 1 from both sides

→4 p +1 -1 > -7 -1

→ 4 p > -8

Dividing both sides by, 4 we get

p > -2

⇒⇒Second , Inequality is

6 p + 3 < 33

Subtracting , 3 from both sides

→6 p +3 - 3 < 33 -3

→6 p < 30

Dividing both sides by 5, we get

→p<5

The solution of the two combined inequality is

1.→ p > -2 and p < 5.

≡-2 < p <5

Combining them we get the solution set,which is, p ∈ (-2,5)

Option A: →A number line with open circles at negative 2 and 5 with shading in between.

Answer 2

The first inequality has solution
  4p > -8 . . . . . . subtract 1
  p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.

Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
  a number line with open circles at negative 2 and 5 with shading in between