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Question

Solve the following inequation:
3x+5<15; xϵ N


A
{0, 1, 2,3}
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B
{1,2}
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C
{1, 2, 3}
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D
{1, 2, 3, 4}
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Solution

The correct option is D {1, 2, 3}

Given: 3x+5<15

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 inequation.

3x<155

3x<10

Rule: If both the sides of an inequation are multiplied or divided by the same positive number, then the sign of the inequality will remain the same.
On dividing both sides by 3, we get;


x<103

x<313

Since xϵN; the possible values of x are {1, 2, 3}.


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