Question

The solution set of the inequation 3x<5. when x is a natural number is
a {1,2} b. {1} c. {4} d. {0, 1}​

Answer 1

The solution set of the inequation 3x < 5 when x is a natural number is {1}

Given :

The inequation 3x < 5

To find :

The solution set of the inequation 3x < 5 when x is a natural number is

a. {1,2}

b. {1}

c. {4}

d. {0, 1}

Solution :

Step 1 of 2 :

Write down the given inequation

Here the given inequation is 3x < 5

Step 2 of 2 :

Find the required solution set

$\displaystyle \sf{ 3x < 5 }$

$\displaystyle \sf{ \implies x < \frac{5}{3} }$

Since x is a natural number

∴ x ∈ N

Now the natural number less than 5/3 is only 1

So the required solution set is {1}

Hence the correct option is b. {1}

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