If a > b on the number line, which statement is correct?
Answer and explanation
Correct answer: a is to the right of b
The governing concept is the geometric interpretation of inequality on a number line. Numbers increase as we move from left to right. Therefore, if a > b, then a has the greater value and must be located to the right of b. For example, if a = 5 and b = 2, the point 5 is to the right of the point 2. Option B reverses the order, option C contradicts the strict inequality by making the numbers equal, and option D describes the opposite relation. The statement remains true for negative values as well; for instance, −1 > −4 and −1 lies to the right of −4. Hence option A is correct.
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What is the correct answer to this question?
a is to the right of b
Why is this the correct answer?
The governing concept is the geometric interpretation of inequality on a number line. Numbers increase as we move from left to right. Therefore, if a > b, then a has the greater value and must be located to the right of b. For example, if a = 5 and b = 2, the point 5 is to the right of the point 2. Option B reverses the order, option C contradicts the strict inequality by making the numbers equal, and option D describes the opposite relation. The statement remains true for negative values as well; for instance, −1 > −4 and −1 lies to the right of −4. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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