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Graphical Representation of Inequation

Represent the...

Question

Represent the solution of the following inequation on a number line when x is an integer:
$- 1 \leq x + 3 \leq 4$

A

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B

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C

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D

4

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Solution

The correct option is A
$- 1 \leq x + 3 \leq 4 (subtracting 3 from the inequation) \Rightarrow - 1 - 3 \leq x + 3 - 3 \leq 4 - 3 \Rightarrow - 4 \leq x \leq 1$

Since, the solution set belongs to the integers, the solutions are -4, -3, -2, -1, 0 and 1.

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Graphical Representation of Inequation

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