Math, asked by rallapalliseshadri, 1 year ago

find the set of all natural numbers x such that 4x+9<30

Answers

Answered by MaheswariS
4

\underline{\textbf{Given:}}

\mathsf{4x+9\,&lt;\,30}

\underline{\textbf{To find:}}

\textsf{Set of all natural numbers satisfying the inequality}

\underline{\textbf{Solution:}}

\mathsf{Consider,}

\mathsf{4x+9\,&lt;\,30}

\implies\mathsf{4x&lt;\,30-9}

\implies\mathsf{4x&lt;\,21}

\textsf{Divide bothsides by 4}

\implies\mathsf{x&lt;\,\dfrac{21}{4}}

\implies\mathsf{x&lt;\,5.25}

\textsf{x is a natural number less than 5.25}

\implies\mathsf{x=1,2,3,4,5}

\therefore\textbf{Solution set is}\;\bf\{1,2,3,4,5\}

Answered by NITESH761
1

Step-by-step explanation:

We have,

\sf 4x+9&lt;30

\sf 4x&lt;30-9

\sf 4x&lt;21

\sf ∵ 4&gt;0

 \sf ∴ Divide both sides by 4,

 \sf \dfrac{4x}{4}&lt;\dfrac{21}{4}

\sf x&lt;5.25

So, the solution set is,

\sf x \in \{ 1,2,3,4,5\}

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