MHT CET202611 April 2026Morning ShiftMathematicsBasics of MathematicsActual
If A = 1, 2, 3, 4, 5 , then which of the following statements is not true?
Options
- Ax A , such that x + 4 9
- Bx A , such that 12 - x = 7
- Cx A, x + 3 4
- Dx A , such that x + 2 < 3
Correct answer
D. x A , such that x + 2 < 3
Step-by-step solution
Given the set A = 1, 2, 3, 4, 5 . Checking the first statement: x A , such that x + 4 9 . For x = 1 , 1 + 4 = 5 9 . This statement is true. Checking the second statement: x A , such that 12 - x = 7 . Solving for x gives x = 5 . Since 5 A , this statement is true. Checking the third statement: x A, x + 3 4 . The minimum value of x in A is 1 . For x = 1 , 1 + 3 = 4 4 . For all other values in A , x + 3 > 4 . This statement is true. Checking the fourth statement: x A , such that x + 2 Therefore, the fourth statement i