Question

plz answer me this ​

Answer 1

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24x<100

$x < \frac{100}{24} \\ \\ x < \frac{25}{6}$

(i) It is evident that 1,2,3 and 4 are the only natural numbers less than

$\frac{25}{6}$

,Thus when x is a natural number ,the solutions of the given inequality are 1,2,3 and 4.

Hence, in this case, the solution set is {1,2,3,4}.

(ii) The integers less than

$\frac{25}{6}$

are .......−3,−2,−1,0,1,2,3,4.

Hence,in this case ,the solution set is {............−3,−2,−1,0,1,2,3,4}.

Answer 2

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24x<100

$\begin{gathered}x < \frac{100}{24} \\ \\ x < \frac{25}{6}\end{gathered}$

x< 100/24

x< 25/6

(i) It is evident that 1,2,3 and 4 are the only natural numbers less than

$\frac{25}{6} </p><p>6</p><p>25$

when x is a natural number ,the solutions of the given inequality are 1,2,3 and 4.

Hence, in this case, the solution set is {(1,2,3,4)

(ii) The integers less than

$\frac{25}{6} </p><p>6</p><p>25$

The numbers are -3,−2,−1,0,1,2,3,4.

Hence,in this case ,the solution set is (-3,−2,−1,0,1,2,3,4)