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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:
- x ∈ W
- x ∈ Z
- x ∈ R
Solution
`-1/3 <= x/2 + 1 2/3 < 5 1/6`
`-1/3 - 5/3 <= x/2 < 31/6- 5/3`
`-6/3 <= x/2 < 21/6`
– 4 ≤ x < 7
1. If x ∈ W, range of values of x is {0, 1, 2, 3, 4, 5, 6}
2. If x ∈ Z, the range of values of x is {– 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5, 6}
3. If x ∈ R, range of values of x is – 4 ≤ x < 7
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