Which one of the following statements is incorrect? 1. If a b, then a - m b - m 2. If a b and m 0, then am bm 3. If a b and m 0, then . 4. If a ≠ 0 and b ≠ 0, then a b ⇒ .

Question

KnowledgeBoat · Accepted Answer

Let's evaluate each: 1. If a b, then a - m b - m Adding/Subtracting doesn't change the sign. So, it is correct. 2. If a b and m 0, then am bm Multiplying by a positive number keeps the sign. So, it is correct. 3. If a b and m 0, then . Incorrect. If we divide by a positive number, the sign should remain the same. It should be . 4. If a ≠ 0 and b ≠ 0, then a b ⇒ . Generally correct for positive numbers (Reciprocal rule). Option 3 is the incorrect statement. Hence, option 3 is the correct option.

Mathematics

Which one of the following statements is incorrect? 1. If a b, then a - m b - m 2. If a b and m 0, then am bm 3. If a b and m 0, then . 4. If a ≠ 0 and b ≠ 0, then a b ⇒ .

Linear Inequations

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The solution set of the inequality 17 - 4x < 7, x ∈ Z is
{1, 2, 3, ……………}
{2, 3, 4, ……………}
{3, 4, 5, ……………}
{4, 5, 6, ……………}

Which one of the following is not a solution to the inequality 2x > 18 - 5x?
7
5
3
1

Mathematics

Which one of the following statements is incorrect? 1. If a b, then a - m b - m 2. If a b and m 0, then am bm 3. If a b and m 0, then . 4. If a ≠ 0 and b ≠ 0, then a b ⇒ .

Linear Inequations

Related Questions

The solution set of the inequality 17 - 4x < 7, x ∈ Z is{1, 2, 3, ……………}{2, 3, 4, ……………}{3, 4, 5, ……………}{4, 5, 6, ……………}

Which one of the following is not a solution to the inequality 2x > 18 - 5x?7531

The solution set of the inequality 17 - 4x < 7, x ∈ Z is
{1, 2, 3, ……………}
{2, 3, 4, ……………}
{3, 4, 5, ……………}
{4, 5, 6, ……………}

Which one of the following is not a solution to the inequality 2x > 18 - 5x?
7
5
3
1