Derivative & Differentiability Theorems - Introduction to Analysis

Card 1 of 4

0

Didn't Know

0

Didn't Know

Knew It

0

1 of 43 left

Question

Determine whether the following statement is true or false:

Let , , , and $d\ \epsilon\ \mathbb{R}$ . If and then .

Tap to reveal answer

Answer

Determine this statement is false by showing a contradiction when actual values are used.

Let

First make sure the inequalities hold true.

$\a<b \1<2$

and

$\c<d<0 \-3<-2<0$

Now find the products.

$\ac<bd \(1)(-3)<(2)(-2) \-3\nless -4$

Therefore, the statement is false.

← Didn't Know|Knew It →

Question

Determine whether the following statement is true or false:

Let , , , and $d\ \epsilon\ \mathbb{R}$ . If and then .

Tap to reveal answer

Answer

Determine this statement is false by showing a contradiction when actual values are used.

Let

First make sure the inequalities hold true.

$\a<b \1<2$

and

$\c<d<0 \-3<-2<0$

Now find the products.

$\ac<bd \(1)(-3)<(2)(-2) \-3\nless -4$

Therefore, the statement is false.

← Didn't Know|Knew It →

Question

Determine whether the following statement is true or false:

Let , , , and $d\ \epsilon\ \mathbb{R}$ . If and then .

Tap to reveal answer

Answer

Determine this statement is false by showing a contradiction when actual values are used.

Let

First make sure the inequalities hold true.

$\a<b \1<2$

and

$\c<d<0 \-3<-2<0$

Now find the products.

$\ac<bd \(1)(-3)<(2)(-2) \-3\nless -4$

Therefore, the statement is false.

← Didn't Know|Knew It →

Question

Determine whether the following statement is true or false:

Let , , , and $d\ \epsilon\ \mathbb{R}$ . If and then .

Tap to reveal answer

Answer

Determine this statement is false by showing a contradiction when actual values are used.

Let

First make sure the inequalities hold true.

$\a<b \1<2$

and

$\c<d<0 \-3<-2<0$

Now find the products.

$\ac<bd \(1)(-3)<(2)(-2) \-3\nless -4$

Therefore, the statement is false.

← Didn't Know|Knew It →

0

Knew It