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Question

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

2x55x+4<11,xϵR


  1. None of these


Solution

The correct option is D


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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