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प्रश्न
If x ∈ Z, solve 2 + 4x < 2x – 5 ≤ 3x. Also represent its solution on the number line.
उत्तर
2 + 4x < 2x – 5 ≤ 3x
2 + 4x < 2x – 5 and 2x – 5 ≤ 3x => 4x – 2x < – 5 – 2 ,and 2x – 3x ≤ 5
⇒ 2x < - 7 and - x ≤ 5
⇒ `x < -(7)/(2)` and x ≥ - 5 and - 5 ≤ x
∴ - 5 ≤ x < - `(7)/(2)`
∵ x ∈ Z
∴ Solution set = {-5, -4}
Solution set on Number line
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