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COMEDK2024MathematicsBasics of MathematicsActual

The inequality 4 x-3 10 x-1 3 represents which of the following interval when x R

Options

  1. A4,5,6,7
  2. B(- , 4]
  3. C[4, )
  4. D[-4, )

Correct answer

C. [4, )

Step-by-step solution

Given the inequality 4x - 3 10x - 1 3 . Multiplying both sides by 3 (since 3 > 0 , the inequality sign remains unchanged): 3(4x - 3) 10x - 1 12x - 9 10x - 1 Subtracting 10x from both sides: 2x - 9 -1 Adding 9 to both sides: 2x 8 Dividing by 2 : x 4 The solution set in interval notation is [4, ) . Answer: [4, )

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