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Question 121 of 128

Q.Solve 23x<10023x < 100 when

(i) xx is a natural number,
(ii) xx is an integer.
Tamil Nadu DgeTamil Nadu HSC First Year (DGE) Board 2025Subjective· 2mImportance★★★★★
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Divide through by 23 to isolate xx, then list the values allowed in each number system.

23x<100⇒x<10023=4.347…23x<100\Rightarrow x<\dfrac{100}{23}=4.347\ldots

(i) If xx is a natural number (x=1,2,3,…x=1,2,3,\ldots), the values satisfying x<4.347x<4.347 are x=1,2,3,4x=1,2,3,4. …

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