Question

Find the range of values of x, which satisfy:  −1 /3 ≤  x/2 + 1 2/3 < 5  1/6 Graph, in each of the following cases, the values of x on the different real number lines:

(i) x ∈ w 

(ii) x ∈ z 

(iii) x ∈ R.

Answer 1

(i) If x ∈ W, range of value of x is {0, 1, 2, 3, 4, 5, 6}

(ii) If x ∈ Z, range of values of x is {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}.

(iii) If x ∈ R, range of values of x is – 4 ≤ x < 7.