Using the set of whole numbers a) Give a number that makes a > 18 true.

Q: Determine if the following statements or mathematic expressions are Ture or False

A: Topic:- matrix algebra

Q: Describe the set of numbers that satisfy the following condition: -x is positive

A: the given condition is that -x is positive. this implies x is negative.

Q: Write the congruence and name of postulate used

A:

Q: Suppose that B and Care points on the number line. If BC = 8 and B lies sat - 5 , where could C be…

A:

Q: Let R be the set of all real numbers with the euclidean topology. Show that R has an uncountable…

A: We will first show : (iii) If S is dense in X, then T is dense in X, where S and T are non-empty…

Q: Consider the statement Vxy (y <x) Let x be all natural numbers Let y = x-1 Is the statement true or…

A: We know that the set of natural numbers starts from 1 and it is an infinite set. This set is…

Q: Express interval in set-builder notation and graph the interval on a number line. (1, 6]

A: Set builder notation of (1, 6] is {x: 1&lt;x≤6}

Q: A Determine whether each conclusion is based on inductive or deductive reasoning. Given: If a…

A: Known fact: Roughly inductive means developing a theory and deductive means testing an existing…

Q: Prove that the second equality is true and find the values of C and δ depending on A, B, ω*.

A:

Q: example as justification. If x ∈ Z and y ∈ Z and x > y, then x − y > 0. If x and y are both even…

A:

Q: Use the Venn diagram to determine whether the statements are equal for all sets A and U A B B. II…

A: Topic :- Set theory The statement is not equal for all set A and set B.

Q: Express the given interval in set-builder notation and graph the interval on a number line: (3, ∞)

A: Definition: Set builder notation is a set of all numbers that are represented by a particular…

Q: Use the rule method to describe the following sets. 1. The set Z of negative integers greater than…

A: 1. Given: The set Z of negative integers greater than -6 To find the following statement using in…

Q: Express interval in set-builder notation and graph the interval on a number line. [-5, 2)

A: [-5, 2) The given interval includes all real numbers in between -5 and 2 including -5 and excluding…

Q: A figure is shown. Given APAT ~ AJEN, identify the corresponding parts to complete each statement.…

A: Given, ∆PAT~∆JEN

Q: In n is a natural number, for which real numbers is the inequality (1 + æ)" > 1+ nx true?

A: 1+xn≥1+nx When n=1, we get ⇒1+x1≥1+1·x⇒1+x≥1+x Which is true. Therefore given statement is true for…

Q: Express interval in set-builder notation and graph the interval on a number line. [-5, ∞)

A: Given interval is [-5,∞) We have to write given set in set-builder notation. Solution: Set builder…

Q: Does the relation "is greater than" have a reflexive property (consider real number a)? A symmetric…

A: Let us consider the relation "is greater than". We have to check whether this relation "is greater…

Q: What is meant by the term open interval in sets? Give example.

A: Open interval means it does not include the end values of the given set.

Q: Prove the inequality theorem 6 which states that the sum of the lengths of any two sides of a…

A: Consider a triangle ABC as shown below.

Q: a. Are Aj and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B).

A: Given :  Our claim is to answer the following :  A) Are A1 and A2 mutually exclusive&gt; B) Compute…

Q: Specify the set by description. {10, 20, 30, . . . , 90} {multiples of 10 between 0 and…

A: Given set is: 10, 20, 30, ......, 90

Q: Express interval in set-builder notation and graph the interval on a number line. (2, ∞)

A: The given interval is (2, ∞)

Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

A:

Q: What is the meaning of the symbol √ and -√ ?

A: The given symbols are √ and -√.

Q: Express the set using set-builder notation. Use inequality notation to express the condition x must…

A: Set builder notation is a mathematical notation used to express the elements in a set.

Q: Insert either &lt;, &gt;, or = in the blank to make a true statement 8 /13 ÷ 8/13 ….. -1.

A: Given, 813÷813...... -1wehave to fill the blank with appropriate &lt;,&gt; and =

Q: 44 Express the given statement in the form of expression. 5 subtracted from three times any number.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the statement 0<x< 5 in interval notation? O [0,5] O (0,5) O [0,5) O (0,5]

A: Given 0≤x≤5

Q: What are the ten branches in mathematics?

A: Ten branches of mathematics are:-

Q: Which theorem will support the conclusion

A:

Q: d) Determine the total number of equivalence classes.

A: Given that: View S3 as a subset of S5 in the obvious way. For σ,τ∈S5 Define σ~τ if σ~τ-1∈S3

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3.5]

A: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3.5]

Q: Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder…

A: Set: In set builder notation the real number between 2 and 7 but not including both the numbers, Let…

Q: Express the given interval in set-builder notation and graph the interval on a number line: (2, ∞).

A: Express the given interval in set-builder notation as shown below: x|x&gt;2

Q: I'm supposed to evaluate the proof, edit if there are errors or confirm that it is correct

A: We are given a proof for the given proposition The proof is correct, No changes/corrections  are…

Q: Write the following universal statement as an equivalent conditional statement in words. All even…

A: We write the given universal statement as an equivalent conditional statement in words. Given…

Q: A symbol exists for "parallel" as well as for "perpendicular." O True O False

A: The symbol of parallel is ∥ and perpendicular is ⊥.

Q: what is the sign for universal?

A: Universal set is a set which contains all objects/elements of other sets. Universal set contains all…

Q: Use the inductive reasoning to form a conjecture about the following. Then, use deductive reasoning…

A: We need to use inductive reasoning to form conjecture for the given statements and deductive…

Q: Write the set of natural numbers greater than 24 using the most concise method.

A: Write the set of natural numbers greater than 24 using the most concise method.

Q: Express the given interval in set-builder notation and graph the interval on a number line : (-2, 4]

A:

Q: What does the Subsets of set of real numbers means? And what does it consists of?

A:

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3)

A: -∞, 3 The given interval consists of all the real numbers between -∞ and 3. Therefore set-builder…

Q: The set of numbers in the form , where a and b belong to the set in statement 7 above and b 0, is…

A: Rational number: Rational numbers represented by ab where a and b are real number and b≠0.

Q: What is a statement that can be proven called

A: In this case, we need find “what is the statement that can be proven called”.

Q: Select a diffferent set of three length and test your conjecture.Does your conjecture hold?

A: Mathematical investigations involve a search for pattern and structure. At the start of an…

Q: Give two true statements that involve the symbol 2 and the number 5.

A: Give two true statements that involve the symbol ≥ and the number 5.

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.