edited by
161 views
1 votes
1 votes

True/False Question :

There exists a continuous function $f:\mathbb{R}\rightarrow \mathbb{R}$ such that $f\left ( \mathbb{Q} \right )\subseteq \mathbb{R}-\mathbb{Q}$ and $f\left ( \mathbb{R-Q} \right )\subseteq \mathbb{Q}.$

edited by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 votes
1 answer
1
soujanyareddy13 asked Aug 29, 2020
322 views
True/False Question :If $A \in M_{10} \left ( \mathbb{R} \right )$ satisfies $A^{2}+A+I=0$, then $A$ is invertible.
0 votes
0 votes
0 answers
2
soujanyareddy13 asked Aug 29, 2020
152 views
True/False Question :Let $X\subseteq \mathbb{Q}^{2}$. Suppose each continuous function $f:X\rightarrow \mathbb{R}^{2}$ is bounded. Then $X$ is necessarily finite.
0 votes
0 votes
0 answers
3
soujanyareddy13 asked Aug 29, 2020
154 views
True/False Question :If $A$ is a $2\times2$ complex matrix that is invertible and diagonalizable, and such that $A$ and $A^{2}$ have the same characteristic polynomial, t...
0 votes
0 votes
1 answer
4
soujanyareddy13 asked Aug 29, 2020
259 views
True/False Question :Suppose $A,B,C$ are $3\times3$ real matrices with Rank $A =2$, Rank $B=1$, Rank $C=2$. Then Rank $(ABC)=1$.