Solve the inequality and enter your solution as an inequality comparing the variable to the solution.
-10 > x - 14
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jimthompson5910 (jim_thompson5910):
hi @lilday12
have you started the problem at all? if so, where are you stuck?
or are you unsure how to start?
OpenStudy (lilday12):
Yes, im stuck on this problem, I dont know on switch < or >
jimthompson5910 (jim_thompson5910):
what was your first step?
how did you move the 14 over?
jimthompson5910 (jim_thompson5910):
hint: the opposite of subtraction
OpenStudy (lilday12):
I got x<4 or x>4
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OpenStudy (lilday12):
it is x<4
jimthompson5910 (jim_thompson5910):
yes it's x < 4
OpenStudy (dayakar):
add both sides 14
14 -10 >x -14 +14
4 >x
therefore x <4
OpenStudy (lilday12):
x<4 right
OpenStudy (danjs):
the sign flip only happens when you multiply everything by a negative, for example
if you have
-1 < 3
multiplying by -1 changes the sign on every term, so you have to also change the > or < the other way
1 > -3
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OpenStudy (danjs):
or multiplying by negative fraction 1/-2, a.k.a dividing