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0 votes
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in Linear Equations by (15.7k points)

Solve each of the following in equations and represent the solution set on the number line. 

6x ≤ 25, where 

(i) x ϵ N, 

(ii) x ϵ Z.

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1 Answer

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by (15.2k points)

(i) 6x ≤ 25, x є N 

Dividing both the sides by 6 in the above equation,

\(\frac{6X}{6} \le \frac{25}{6}\)

\(\le\)\(\frac{25}{6}\)

x ≤ 4.166

Since x is a natural number, therefore the value of x can be less than or equal to 4 Therefore, x = {1,2,3,4}

(ii) 6x ≤ 25, x є Z

Dividing both the sides by 6 in the above equation,

\(\frac{{\text{6x}}}{6} \le \frac{25}{6}\)

\(\le\) \(\frac{25}{6}\)

x ≤ 4.166 

Since x is an integer so the possible values of x can be: 

x = {…, -3, -2, -1, 0, 1, 2, 3, 4}

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