logo

Ask Questions, Get Answers

X
 
Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  Mathematical Reasoning

The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

$\begin {array} {1 1} (A)\;x + x = 2x & \quad (B)\;2x - x = 2x \\ (C)\;both\: 1 \: and \: 2 \: could\: be\: used & \quad (D)\;neither\: 1\: nor\: 2\: could \: be\: used \end {array}$

1 Answer

Ans : (B)
"if and only if" is TRUE when both conditions are the SAME truth value.
Since $"x + x = 3x"$ is false, the first condition must also be false.
$2x - x = 2x$ is false.

 

answered Jan 20, 2014 by thanvigandhi_1
 

Related questions

...