Question

Solve : (3x-2)/2<(2x+1)/5,where x∈W​

Answer 1

Answer:

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Explanation:

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Answer 2

Question :-

Solve :

$\frac{3x - 2}{2} < \: \frac{2x + 1}{5} \: \: \: ᴡʜᴇʀᴇ \: x ∈ ᴡ.$

Solution :-

Multiplying both the sides of the Inequation by 10 ( the LCM of the denominators 2 and 5),

5(3x - 2) < 2(2x +1)

or, 15x - 10 < 4x + 2

or, 15x - 4x < 2 + 10

or, 11x < 12

$or, x < \frac{12}{11}$

But x ∈ W ( the set of whole numbers) . So, x represents all the whole numbers less than 12/11.

Therefore, The solution set is {0, 1}.

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