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प्रश्न
Find the values of x which satisfy the inequation:
`-2 <= 1/2 - (2x)/3 ≤ 1 5/6; x ∈ N`
Graph the solution on the number line.
उत्तर
`-2 <= 1/2 - (2x)/3 ≤ 1 5/6`
`-2 <= 1/2 - (2x)/3 ` and `1/2 - (2x)/3 ≤ 1 5/6`
`-2 <= 1/2 - (2x)/3 ` and `1/2 - (2x)/3 ≤ 11/6`
`-2 <=(3-4x)/6 and (2x)/3 ≤ 11/6 - 1/2`
`-12 <=3-4x and -(2x)/3 ≤ 8/6`
– 4x ≤ 3 + 12 and – 2x ≤ – 4
`x <= 15/4 and x >= 4/(-2)`
x ≤ 3.75 and x ≥ – 2
Thus, the solution set is {x ∊ N: – 2 ≤ x ≤ 3.75}
Since x ∊ N, the values of x are 1, 2, 3
The solution on number line is given by
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