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LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES1 Mark
MCQ
Find all pairs of consecutive odd positive integers both of which are smaller than 8 such that their sum is more than 10.
  • ✓
    (5, 7)
  • B
    (3, 5), (5, 7)
  • C
    (3, 5), (5, 7), (7, 9)
  • D
    (5, 7), (7, 9)
✓

Answer

Correct option: A.
(5, 7)
Let two numbers be x and x + 2.
x + x + 2 > 10 ⇒ 2x > 8 ⇒ x > 4 and x < 8 and x + 2 < 8 ⇒ x < 6.
4 < x < 6 ⇒ x can be 5.
For x = 5, x + 2 = 7
So, Pairs of odd consecutive positive integers are (5, 7).

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