Home
Class 12
MATHS
If a = 3 + b, which of the following mus...

If `a = 3 + b`, which of the following must be true?
I. `a > b + 2.5`
II. `a < b + 2.5`
III. `a > 2 + b`

A

I

B

II only

C

III

D

I and III only

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If a and b are nonzero numbers such that a lt b , which of the following must be true ? I. 1/a gt 1/b II. a^2 lt b^2 III. b^2 ge 1

Let a and b be numbers such that -a lt b +1 lt a. Which of the following must be true ? I. a gt 0 II. |b| lt a III. b gt a +1

If f is an odd function and f(a)=b , which of the following must also be true ? I. f(a)=-b II. f(-a)=b III. f(-a)=-b

If the roots of the equations x^(2) - (a-b)x + c = 0 are integers which are equal in magnitude and opposite in sign, which of the following statements are true ? I. a = - b II. a =b III. c+a^(2) = 0

Which of the following statements must be true? I. a+blt180 II. a+d=180 III. a+dgt180

If ( a - b) /( b ) = ( 3 ) /(7) , which of the following must also be true ?

In triangleABC , if AB=CD, which of the following statements must be true? I. xgtz II. ygtx III. ABgtBC

If a,b,c,d are distinct numbers such that : a + C = 2d and b+d = 2c , which of the following statements must be ture ? I. a cannot be the average of a,b,c,d. II b can be the average of a,b,c,d . III d can be the average of a,b,c,d.