9. Let R be the relation on Z where for all a, b e Z. a Rb if and only if la – b\ z 2. (a) Use set builder notation to describe the relation R as a set of ordered pairs. (b) Determine the domain and range of the relation R. (c) Use the roster method to specify the set of all integers r such that x R 5 and the set of all integers x such that 5 R x. (d) If possible, find integers x and y such that x R 8, 8 R y, but x Ry.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![(a) R= {(x. y) €R×RX² + y²
10
(b) S = {(x,y) « R × R |y = x, 10}
(c) T = (x,y\ e R × R\x + ]y = 10;
(dy R= {(x. v) €R×R[x² = v}
9. Let R be the relation on Z where for all a, b E Z, a Rb if and only if
Na – b\ z 2.
(a) Use set builder notation to describe the relation R as a set of ordered
pairs.
* (b) Determine the domain and range of the relation R.
(c) Use the roster method to specify the set of all integers r such that x R 5
and the set of all integers x such that 5 Rx.
(d) If possible, find integers x and y such that x R 8, 8 Ry, but x Ry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa68628b5-f384-4ba7-a04f-a8f64dbf4c73%2Fe99e16d0-e630-494b-8f4f-c051f0d74bb4%2Fjvazl8_processed.jpeg&w=3840&q=75)
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