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  1. (10 + 2) ÷ 7 < (10 ÷ 7) + 2
  2. (10 – 7) × 2 < (10 × 2) – 7
  3. (10 × 7) – 2 < (10 – 2) × 7
  4. (10 ÷ 2) + 7 < (10 + 7) × 2
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1 Answers

Option 3 : (10 × 7) – 2 < (10 – 2) × 7

+ means ÷

- means ×

÷ means –

× means +

< means less than

Option1: (10 + 2) ÷ 7 < (10 ÷ 7) + 2 → (10 ÷ 2) – 7 < (10 – 7) ÷ 2 → -2 < 1.5 (true)

Option2: (10 – 7) × 2 < (10 × 2) – 7 → (10 × 7) + 2 < (10 + 2) × 7 → 72 < 84 (true)

Option3: (10 × 7) – 2 < (10 – 2) x 7 → (10 + 7) × 2 < (10 × 2) + 7 → 38 < 27 (false)

Option4: (10 ÷ 2) + 7 < (10 + 7) × 2 → (10 – 2) ÷ 7 < (10 ÷ 7) + 2 → 1.14 < 3.42 (true)

Hence, the false expression is (10 × 7) – 2 < (10 – 2) × 7.
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