a) Use proportion variable to label each proposition.

b) Determine if the argument is valid

c) If the argument is valid, what is the rule of inference used?

d) What is the conclusion of the argument?

comAttitRize8
2022-07-15
Answered

If I am a senior student, then I can take upper-level math class. I cannot take ypper-level math class

a) Use proportion variable to label each proposition.

b) Determine if the argument is valid

c) If the argument is valid, what is the rule of inference used?

d) What is the conclusion of the argument?

a) Use proportion variable to label each proposition.

b) Determine if the argument is valid

c) If the argument is valid, what is the rule of inference used?

d) What is the conclusion of the argument?

You can still ask an expert for help

Kendrick Jacobs

Answered 2022-07-16
Author has **16** answers

Step 1

a) let I be 'Iam a senior student'

let M be 'I can take upper level math class'.

b) $I\to M\phantom{\rule{0ex}{0ex}}\sim M\phantom{\rule{0ex}{0ex}}\sim I\to \sim M$

yes the statement is valid.

c) The rule of inference used is Modus Tollens which states

$a\to b\phantom{\rule{0ex}{0ex}}\sim b\phantom{\rule{0ex}{0ex}}\text{Therefore}\text{}\sim a$

d) The conclusion is I'am not a senior student.

a) let I be 'Iam a senior student'

let M be 'I can take upper level math class'.

b) $I\to M\phantom{\rule{0ex}{0ex}}\sim M\phantom{\rule{0ex}{0ex}}\sim I\to \sim M$

yes the statement is valid.

c) The rule of inference used is Modus Tollens which states

$a\to b\phantom{\rule{0ex}{0ex}}\sim b\phantom{\rule{0ex}{0ex}}\text{Therefore}\text{}\sim a$

d) The conclusion is I'am not a senior student.

asked 2022-05-23

Help with using the Schroeder-Bernstein Theorem?

Corresponding Counts [3 points]

Prove that $|\{x\in \mathbb{R}|0\le x\le 1\}|=|\{x\in \mathbb{R}|4<x<7\}|$.

Corresponding Counts [3 points]

Prove that $|\{x\in \mathbb{R}|0\le x\le 1\}|=|\{x\in \mathbb{R}|4<x<7\}|$.

asked 2022-05-20

1a.

Show from first principles, i.e., by using the definition of linear independence,

that if μ = x + iy, y ̸= 0 is an eigenvalue of a real matrix

A with associated eigenvector v = u + iw, then the two real solutions

Y(t) = eat(u cos bt − wsin bt)

and

Z(t) = eat(u sin bt + wcos bt)

are linearly independent solutions of ˙X = AX.

1b.

Use (a) to solve the system (see image)

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In how many ways can you sit 5 people in a row of 20 seats if no 2 can sit together?

I've seen the simpler problem of just sitting 2 people in non consecutive seats. In that case, I would subtract from the total number of ways to sit the 2 persons the number of ways of sitting them together.

In this harder version of the problem,I've though of the same thing, but now considering the case were 2, 3, 4 or 5 sit together. But that seems to count duplicate cases.

I've seen the simpler problem of just sitting 2 people in non consecutive seats. In that case, I would subtract from the total number of ways to sit the 2 persons the number of ways of sitting them together.

In this harder version of the problem,I've though of the same thing, but now considering the case were 2, 3, 4 or 5 sit together. But that seems to count duplicate cases.

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Advanced Math

If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?

If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?

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Given discrete math

Find A

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Express the following in set-builder notation:

a)The set A of natural numbers divisible by 3.

b)The set B of pairs (a,b) of real numbers such that a + b is an integer.

c)The open interval C = (—2,2).

d)The set D of 20 element subsets of N.

a)The set A of natural numbers divisible by 3.

b)The set B of pairs (a,b) of real numbers such that a + b is an integer.

c)The open interval C = (—2,2).

d)The set D of 20 element subsets of N.