Question
Let R be the relation on Z defined by: $\text{R}=\{(\text{a, b}):\text{a},\text{b}\in\text{Z, a}-\text{b is an integer\}}$ Find the domain and range of R.
✓
Answer
We have, $\text{R}=\{(\text{a, b}):\text{a},\text{b}\in\text{Z, a}-\text{b is an integer\}}$ Clearly, Domain(R) = z, Range(R) = z
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}\cos\text{x}+\sin\text{x}}{\text{x}^2+\tan\text{x}}$
→A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
Find the derivative of $f(x) = x^2 − 2$ at $x = 10$
→Evaluate the following: $^{12}C_{10}$
→Consider the following population and year graph: Find the slope of the line AB and using it, find what will be the population in the year 2010.
There are four parcels and five post-offices. In how many different ways can the parcels be sent by registered post?
Find the equation of the parabola that satisfies the given conditions: Focus (6, 0) directrix x = -6
If the lines 2x + y - 3 = 0, 5x + ky - 3 = 0, 3x - y - 2 = 0 are concurrent, find the value of k.
Prove that: $\sin80^\circ-\cos70^\circ=\cos50^\circ$
→In a single throw of a die describe the following events: D = Getting a number less than 4