Find the solution set of 1/(x+3)
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Answer:
x € (-∞ , -3)
Note:
★ If a/b > 0 then , two cases arises ;
1) a > 0 and b > 0
OR
2) a < 0 and b < 0
★ If a/b < 0 then , two cases arises ;
1) a > 0 and b < 0
OR
2) a < 0 and b > 0
Solution:
Here ,
It is given that ;
1/(x + 3) < 0
Here ,
1 > 0 , thus the only condition for 1/(x + 3) to be less than zero is that (x + 3) < 0 .
Thus,
=> x + 3 < 0
=> x < - 3
Hence,
x € (-∞ , -3)
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