inequality like (a+1)(a+4)0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a-1,a4 please explain what is the problem in my soilution and how to solve these inequlities

Question

inequality like (a+1)(a+4)>0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a>-1,a>4 please explain what is the problem in my soilution and how to solve these inequlities

AKASH GOYAL AskiitiansExpert-IITD · Answer

Dear Aditya

these type of inequalities are solved using wavy curve method. first find the critical points;i.e. points where function is zero. then place these points on number line

like this + -1_____--__________ +4 +

start from the extreme right point that is the greatest number place a + sign after this then place a negative sign between this number and previous number on left side. then place a + sign . keep doing this. hence function is negative between -1 and 4 and positive besides this range.

hence answer will be (-∞,-1) U (4,∞)

All the best.

AKASH GOYAL

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inequality like (a+1)(a+4)>0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a>-1,a>4 please explain what is the problem in my soilution and how to solve these inequlities

inequality like (a+1)(a+4)>0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a>-1,a>4 please explain what is the problem in my soilution and how to solve these inequlities

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inequality like (a+1)(a+4)>0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a>-1,a>4 please explain what is the problem in my soilution and how to solve these inequlities

inequality like (a+1)(a+4)>0 the answer is(-ihfinity,-1)U (4,infinity) but when i try to solve this i came to a>-1,a>4 please explain what is the problem in my soilution and how to solve these inequlities

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