# arrow_back The contrapositive of the sentence $\sim p \rightarrow q$ is equivalent to ( )

reopened 43 views
The contrapositive of the sentence $\sim p \rightarrow q$ is equivalent to ( )
A. $p \rightarrow \sim q$
B. $q \rightarrow \sim p$
C. $q \rightarrow p$
D. $\sim p \rightarrow \sim q$
E. $\sim q \rightarrow p$

E

Explanation:
The correct answer is (E). The contrapositive is the converse of the inverse. Thus, form the converse and negate the hypothesis and conclusion. Hence $\sim q \rightarrow p$.

by Gold Status
(30,543 points)
selected by

## Related questions

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is proof by contrapositive?
1 answer 81 views
What is proof by contrapositive?What is proof by contrapositive? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is the difference between Statement and Sentence in Logic?
1 answer 64 views
What is the difference between Statement and Sentence in Logic?What is the difference between Statement and Sentence in Logic? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Why can't my child re-read a word in a sentence that she just sounded out?
0 answers 100 views
Why can't my child re-read a word in a sentence that she just sounded out?Why can't my child re-read a word in a sentence that she just sounded out? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The statement $p \rightarrow(q \rightarrow p)$ is equivalent to
1 answer 71 views
The statement $p \rightarrow(q \rightarrow p)$ is equivalent to The statement $p \rightarrow(q \rightarrow p)$ is equivalent to 1) $p \rightarrow(p \rightarrow q)$ 2) $p \rightarrow(p \vee q)$ 3) $p \rightarrow(p ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the terminal point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose initial point is$A(1,1)$. 0 answers 84 views Find the terminal point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose initial point is$A(1,1)$.Find the terminal point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose initial point is$A(1,1)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,1,3)$and whose terminal point is$B(-1,-1,2)$. 0 answers 45 views Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,1,3)$and whose terminal point is$B(-1,-1,2)$.Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,1,3)$and whose terminal point is$B(-1,-1,2)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose terminal point is$B(2,0)$. 0 answers 44 views Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose terminal point is$B(2,0)$.Find the initial point of the vector that is equivalent to$\mathbf{u}=(1,2)$and whose terminal point is$B(2,0)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If a central atom has 3 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be 1 answer 228 views If a central atom has 3 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to beIf a central atom has 3 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If a central atom has 2 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be 1 answer 264 views If a central atom has 2 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to beIf a central atom has 2 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If a central atom has 6 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be 1 answer 611 views If a central atom has 6 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to beIf a central atom has 6 equivalent bonds to other atoms and no extra lone pairs of electrons, then the shape of the molecule is said to be ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which number is equivalent to$3^4 \div 3^2$? 1 answer 192 views Which number is equivalent to$3^4 \div 3^2$?Which number is equivalent to$3^4 \div 3^2\$? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The expression (3x − 4y2)(3x + 4y2) is equivalent to....
1 answer 451 views
The expression (3x − 4y2)(3x + 4y2) is equivalent to....The expression (3x − 4y2)(3x + 4y2) is equivalent to.... ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Is covariate balance equivalent to independence?
0 answers 81 views
Is covariate balance equivalent to independence?Is covariate balance equivalent to independence? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
How is the local Markov assumption equivalent to the global Markov assumption in causal inference?
0 answers 159 views
How is the local Markov assumption equivalent to the global Markov assumption in causal inference?How is the local Markov assumption equivalent to the global Markov assumption in causal inference? ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
When are two vectors considered to be equivalent?
1 answer 71 views
When are two vectors considered to be equivalent?When are two vectors considered to be equivalent? ...
close