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.

Question

Philoid · Accepted Answer

(i) 6x ≤ 25, x є N

Dividing both the sides by 6 in the above equation,

x ≤

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,

x ≤

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}