logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XI  >>  Math  >>  Mathematical Reasoning
0 votes

Write the converse and contra positive statements of the statement "Something cold implies that it has low temperature."

$\begin{array}{1 1} \text{Converse: If something is at low temperature then it is not cold. and contra positive: If something is not at low temperature then it is not cold.} \\ \text{Converse: If something is at low temperature then it is cold. and contra positive: If something is not at low temperature then it is cold.} \\ \text{Contra positive: If something is at low temperature then it is cold. and converse: If something is not at low temperature then it is not cold.} \\ \text{Converse: If something is at low temperature then it is cold. and contra positive: If something is not at low temperature then it is not cold.} \end{array} $

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • The converse of If $p$ then $q$ is If $q$ then $p$.
  • The contra positive of If $p$ then $q$ is If ~$q$ then ~$p$.
The given statement is:
Something cold implies that it has low temperature.
here $p\rightarrow$ Something is cold. and
$q\rightarrow$ Something is at low temperature.
~$p\rightarrow$ Something is not cold.
~$q\rightarrow$ Something is not at low temperature.
$\therefore$ The converse of the given statement is
If something is at low temperature then it is cold.
The contra positive of the given statement is:
If something is not at low temperature then it is not cold.
answered Jul 21, 2014 by rvidyagovindarajan_1
edited Jul 21, 2014 by rvidyagovindarajan_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...