Question

Solve 24x<100, when
I) X is a natural number
ii) X is an integer​

Answer 1

Answer:24100

Step-by-step ex        

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Answer 2

Let's first solve for the inequation given, then we will be solving for the given conditions

${:\implies \quad \sf 24x<100}$

Divide both sides by 24

${:\implies \quad \sf \dfrac{24x}{24}<\dfrac{100}{24}}$

${:\implies \quad \sf x<\dfrac{25}{3}}$

Now, as we need to take only natural numbers and integers, so we are not allowed to take rational numbers, also (25/3) ≈ 4.1666..., so we can just replace (25/3) by 4

${:\implies \quad \sf x<4}$

Now, for natural numbers, the solution set will be ${\bf{\{1,2,3\}}}$ and for integers the solution set will be infinte,so here the solution set is ${\bf{\{x\:|\:x\:is\:an\:integer,x<4\}}}$

Note:- Here, | symbol means "such that"