feo:0srand r' ss}
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.
![3:50
AA
A 1-xythos.content.blackboardcdn.com
Section 3.3 Homework
1. Given the following sets, find the maximum, minimum, infimum
(glb) and supremum (lub)of the following sets:
a] [0,4)
b)
d] "inɛN
n+1
el {-15 :nɛN}
(-1)
f]
a feg:r ss}
i feg:0sr and r²ss}
2. Let S be a nonempty bounded subset of R and let m = sup S.
Prove that m is in S iff m = maxS
3. Let S be a nonempty bounded subset of R. Prove that maxS and
supS are unique.
4. Let S be a nonempty bounded subset of R. Let k be a real
number. Define kS = {ks: for some s in S}
Prove the following:
[a] If k >0, then sup(kS) = k(supS) and inf(kS)=k(infS)
[b] if k < 0, then sup(kS) = k(infS) and inf(kS) = k(supS)
5. Let S and T be nonempty bounded subsets of R with S a subset of
T. Prove that infT < infS <supS < supT
6. Prove that between any two real numbers there are infinitely
many rational and irrational numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc074fc7e-4e48-46f1-bfc4-aee6ba4e6262%2Fe81c48c6-7f3a-45ac-8ea9-09f765ebf926%2Fqlv3qzn_processed.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps
