Which of the following is the correct graph of the compound inequality 4p + 1 −11 or 6p + 3

Question

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

a number line with closed circles at -3 and 6 and shading in between.

number line with open dots at ¨C3 and 6 and shading to the right of 6 and to the left of ¨C3.

number line with open dot at ¨C2 and at 5 with shading in between.

number line with shading everywhere.

anonymous · Answer

HELP HELP

paxpolaris · Answer

first simplify each individual inequality...

anonymous · Answer

IDK HOW TO DO IT CAN YOU DO IT SO I CAN SEE HOW YOU GOT IT

paxpolaris · Answer

$$\Large 4p+1>-11$$$$\implies\Large 4p>-11-1$$$$\implies\Large 4p>-12$$

paxpolaris · Answer

$$\implies\Large p>-12/4$$$$\implies\Large p>-3$$

anonymous · Answer

I WOULD I GRAPH THAT

paxpolaris · Answer

since the variable p is greater than -3 you will shade the region to the right of -3 in the number line ... -3 will be marked with an empty circle because p is $>$ not $\ge$

But, we are getting ahead of ourselves.

YOU FIRST HAVE TO SIMPLIFY THE SECOND PART OF THE COMPOUND INEQUALITY:
$$\Large 6p + 3 < 39$$

can you try this one yourself?

paxpolaris · Answer

@PreddhieMika try simplifying 6p + 3 < 39 yourself .... what do you get?

anonymous · Answer

6

paxpolaris · Answer

yes ... write the whole thing with > or < sign

p ___ 6

anonymous · Answer

p<6

paxpolaris · Answer

right so we get,

$p>-3$  OR  $p<6$

paxpolaris · Answer

so any number greater than -3|dw:1342397175251:dw|