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x = 4, 5 and 6 are the solutions for:

  • a)
    x > 4 and x < 7

  • b)
    x ≥ 4 and x ≤ 7

  • c)
    x ≥ 4 and x < 7

  • d)
    x > 4 and x > 7

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
x = 4, 5 and 6 are the solutions for:a)x>4 and x<7b)x≥4 and x...
To determine which statement matches the solutions x=4,5 and 6, let's analyze each option:
a) x > 4 and x < 7
  • This means 4 < x < 7.
  • The solutions x = 5,6 do not satisfy this condition because it does not contain 4.
b) x ≥ 4 and x ≤ 7
  • This means 4 ≤ x ≤ 7.
  • The solution x = 4,5,6,7  do not satisfy this condition as it contains 7 also .
c) x ≥ 4 and x < 7
  • This means 4 ≤ x < 7.
  • The solutions x=4,5,6 satisfy this condition because they are all greater than or equal to 4 and strictly less than 7.
d) x > 4 and x > 7
  • This means x > 7.
  • The solutions x = 4,5,6 do not satisfy this condition because none of them are greater than 7.
Therefore, after analyzing each option, we conclude that the solutions x=4,5,6 correspond to statement:
c) x ≥ 4 and x < 7
 
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