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Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
  • e)
    5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let X represent a segment on a number line such that −1 < x &...
If the segment X, represented by -1 < x < 5, is shifted 5 units in the positive direction, the new range of X becomes 4 < x < 10.
Similarly, if the segment Y, represented by 6 ≤ y ≤ 10, is shifted 2 units in the positive direction, the new range of Y becomes 8 ≤ y ≤ 12.
By comparing the new ranges, we can determine the common integers between X and Y, which are 8 and 9.
Therefore, the answer is B: 2 common integers.
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Most Upvoted Answer
Let X represent a segment on a number line such that −1 < x &...
If the segment X, represented by -1 < x < 5, is shifted 5 units in the positive direction, the new range of X becomes 4 < x < 10.
Similarly, if the segment Y, represented by 6 ≤ y ≤ 10, is shifted 2 units in the positive direction, the new range of Y becomes 8 ≤ y ≤ 12.
By comparing the new ranges, we can determine the common integers between X and Y, which are 8 and 9.
Therefore, the answer is B: 2 common integers.
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Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?a)1b)2c)3d)4e)5Correct answer is option 'B'. Can you explain this answer?
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Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?a)1b)2c)3d)4e)5Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?a)1b)2c)3d)4e)5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X represent a segment on a number line such that −1 < x < 5. Let Y represent a segment on a number line such that 6 ≤ y ≤ 10. If X were shifted by 5 in the positive direction and Y were shifted by 2 in the positive direction, how many common integers would the new X and the new Y share?a)1b)2c)3d)4e)5Correct answer is option 'B'. Can you explain this answer?.
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