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प्रश्न
Solve the following inequation and represent the solution set on the number line 2x – 5 <= 5x + 4 < 11, where x ∈ I
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उत्तर
The given inequation is `2x – 5 <= 5x + 4 < 11`, where x ∈ I
`2x - 5 <= 5x + 4`
`2x - 5x <= 4 + 5`
`-3x <= 9`
`x >= -3`
5x + 4 < 11
5x < 11 - 4
5x < 7
x < 1.4
Thus, the solution set = {x: x ∈ I, –3 <= x < 1.4}
The solution set can be represented on a number line as follows:
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Equation of a Line
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