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Absolute Value Question!



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jiteshmeghwal9
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@aceace post the question :)

aceace
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Represent the solutions sets of the following equation on a number line...\[\left x+3 \right > 1\] and \[\left 2x + 5 \right < 3\]

jiteshmeghwal9
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a = a if a<0
a = a if a>0
so solve
(x+3)>1 & (x+3)>1
(2x+5)<3 & (2x+5)<3

jiteshmeghwal9
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Do u gt it @aceace ??

aceace
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yes but i got x>2 , x<4 and x<1 , x>4 but the answers are different

aceace
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Could you do it step by step for me?

nubeer
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hmm.. so what are the answers? @aceace

aceace
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they are 2<x<1

hartnn
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these are absolutely, what u got
x>2 , x<4 and x<1 , x>4

hartnn
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now 'AND' means the common region between them
what is common from
x>2 , x<4 and x<1 , x>4
?

hartnn
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x>2 , x<4
dw:1352542195310:dw

hartnn
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x<1 , x>4
dw:1352542254504:dw
so whats the common region ?

hartnn
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dw:1352542362156:dw

hartnn
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2<x<1

hartnn
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ask if there are still any doubts anywhere @aceace

aceace
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i fully understand now... thanks

hartnn
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welcome ^_^