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 negative 3 and 6 and shading in between.
number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
number line with open dots at negative 2 and 5 with shading in between.
number line with shading everywhere.
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OpenStudy (anonymous):
@alphaminer126
@OM14forever
OpenStudy (anonymous):
Help?!?!
OpenStudy (djjo):
ok so you want to leave p one one side of the inequality so how would you do that for:
4p + 1 > -11
OpenStudy (anonymous):
divide -11 by 1
so 4p<1?
OpenStudy (djjo):
no, you would do:
4p + 1 > -11
4p + 1 -1 > -11 -1
4p > -12
4p/4 > -12/4
p > -3
do you understand?
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OpenStudy (anonymous):
yes
OpenStudy (djjo):
ok now try doing the same thing I did for:
6p + 3 < 39
OpenStudy (djjo):
in steps like I did above
OpenStudy (anonymous):
6p + 3 < 39
6p+3-3<39-3
6p<42
p>7
OpenStudy (djjo):
ok so what is 39 -3 ?
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OpenStudy (anonymous):
36
OpenStudy (djjo):
yes so try to fix your mistake above
OpenStudy (anonymous):
oh
6p<36
p>6
OpenStudy (djjo):
ok so here you don't switch the sign because you are not dividing the number by a negative number so the answer would be:
p < 6
does that make sense?
OpenStudy (anonymous):
okay thk lots
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