COMEDK2024MathematicsBasics of MathematicsActual
The inequality 4 x-3 10 x-1 3 represents which of the following interval when x R
Options
- A4,5,6,7
- B(- , 4]
- C[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, )