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प्रश्न
Solve the following inequalities
−13 ≤ 5x + 2 ≤ 32, x is an integer
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उत्तर
−13 ≤ 5x + 2 ≤ 32
Subtracting throughout by 2
−13 – 2 ≤ 5x + 2 – 2 ≤ 32 – 2
−15 ≤ 5x ≤ 30
Dividing throughout by 5
`(-15)/5` ≤ `(5x)/5` ≤ `30/5`
– 3 ≤ x ≤ 6
∴ Since the solution is an integer between −3 and 6 both inclusive, we have the solution as −3, −2, −1, 0, 1, 2, 3, 4, 5, 6.
∴ x = −3, −2, −1, 0, 1, 2, 3, 4, 5 and 6.
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