Which is a solution of the inequality?
p + 4 – 2(p – 10) > 0
A. 29
B. 26
C. 24
D. 22
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OpenStudy (anonymous):
im not sure what do do on this question at all
OpenStudy (anonymous):
to*
OpenStudy (campbell_st):
I'd just substitute each evaluate to find the one greater > 0
OpenStudy (campbell_st):
it can be solved... if needed
OpenStudy (anonymous):
i have no i idea how to do that
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OpenStudy (campbell_st):
ok... can you distribute
-2(p - 10)..... what do you get
OpenStudy (anonymous):
-2p + 20?
OpenStudy (campbell_st):
correct so looking at the whole problem you have
p + 4 -2p + 20 > 0
can you collect the like terms..
OpenStudy (anonymous):
say what lol
OpenStudy (anonymous):
4 -3p + 20> 0?
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OpenStudy (campbell_st):
not quite, it
p - 2p + 4 + 20 > 0
or
-p + 24 > 0
does that make sense?
OpenStudy (anonymous):
-3p + 20 > 0?
OpenStudy (anonymous):
24*
OpenStudy (campbell_st):
can you see how I got - p?
OpenStudy (anonymous):
im lost
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OpenStudy (campbell_st):
ok... so looking at the terms in p
what is 1 - 2 =
OpenStudy (anonymous):
- p + 24 > 0 isnt an answer
OpenStudy (campbell_st):
thats ok....
so to get all the possible answers subtract 24 from both sides
- p + 24 > 0
- 24 -24
---------------
-p > -24
is that ok..?
OpenStudy (anonymous):
now im even more confused sorry
OpenStudy (campbell_st):
this is like solving an equation but instead of an equals sign, you have >
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OpenStudy (anonymous):
-24 isnt an anwer
OpenStudy (anonymous):
answer*
OpenStudy (campbell_st):
ok... last step multiply both sides of the inequation by -1 which will reverse the inequality sign
p < 24
find a number in you list that is less than 24
thats the answer..