Which of the following is the correct graph of the compound inequality 4p + 1 −7 or 6p + 3

Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?

 a number line with open circles at -2 and 5 with shading in between.

 number line with open dots at ¨C2 and 5 and shading to the right of 5 and to the left of ¨C2.

 number line with shading everywhere.

 number line with open dot at ¨C2 and a closed dot at 5 and shading in between.

jamierox4ev3r · Answer

first you solve the equations, which you look at as if they have an equal sign instead of an inequality

jamierox4ev3r · Answer

4p +1 > -7
     -1     -1
4p>-8
p>-2

jamierox4ev3r · Answer

6p + 3<33
     -3   -3
6p<30
p<5

jamierox4ev3r · Answer

combine the two together and you have -2<p<5.

jamierox4ev3r · Answer

$$\le and \ge=a closed \dot, and > and < =an open \dot.$$

jamierox4ev3r · Answer

Therfore, for this problem, the first choice is the answer.

anonymous · Answer

so its the first one

jamierox4ev3r · Answer

yes. I tried to explain and show you the work so that you will understand :) Good luck!