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Question

Which of the following graphs represent the solution of the inequation written below:

2x55x+4<11,xϵR


A

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B

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C

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D

None of these

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Solution

The correct option is A


2x55x+4<112x55x+4 and 5x+4<11545x2x and 5x<11493x and 5x<73x and x>(7/5)3x<(7/5)3x<(7/5)

But,xϵR{x:3x<(7/5),xϵR}

The graph of the solution set is shown in the following figure


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