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Given, 6x + 2(6 - x) > 2x - 2 < 5x/2 - 3x/4, then x can take which of the following values?
  • a)
    9
  • b)
    -8
  • c)
    5
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Given, 6x + 2(6 - x) > 2x - 2 < 5x/2 - 3x/4, then x can take whi...
To simplify the expression, we first need to distribute the 2 to the terms inside the parentheses:

6x * 2 + 2 * (6 - x)

Simplifying further:

12x + 12 - 2x

Combining like terms:

10x + 12
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Community Answer
Given, 6x + 2(6 - x) > 2x - 2 < 5x/2 - 3x/4, then x can take whi...
⇒ 6x + 2(6 - x) > 2x - 2
⇒ 6x + 12 - 2x > 2x - 2
⇒ 2x > - 14
⇒ x > - 7     ----(1)
⇒ 2x - 2 < 5x/2 - 3x/4
⇒ 2x - 2 < 7x/4
⇒ 8x - 7x < 8
⇒ x < 8     ----(2)
From (1) and (2),
- 7 < x < 8
∴ x = 5 satisfies the given conditions from the above options.
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Given, 6x + 2(6 - x) > 2x - 2 < 5x/2 - 3x/4, then x can take which of the following values?a)9b)-8c)5d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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