Which of the following illustrates the truth value of the given conditional statement? p: 2 + 2 = 4 q: 7 + 1 = 7 t f → f t t → t f t → t f f → t

T F → F is the correct answer.

Step-by-step explanation:

In the given question if p illustrates p: 2 + 2 = 4

which is true so the truth value of this statement p is True.

Now the other statement q illustrates q: 7 + 1 = 7

Which is a false statement so the truth value of this statement is False.

As we know when "p→q ( p implication q), the truth value of implication is False only when truth value of p is True and for statement q the truth value is False."

We can see from the truth table truth value of p→q will be False.

So T F → F

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !