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Question

Which of the following number line represents the solution of the inequation:
2+4x<2x53x;  xZ



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 B


Given:    2+4x<2x53x

Let's separate the inequation in two inequations.​​​​​​

2+4x<2x5  and  2x53x

Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the above inequations.

2x<7  and  5x

x<3.5  and  x5

5x<3.5

As x Z, the solution set is {-5, -4 }.

The graphical representation of the solution set on a number line is as follows:


Mathematics

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