For Exercises 9–20, refer to the sets A , B , C , and D . Determine the union or intersection as indicated. Express the answer in interval notation, if possible. (See Example 2 .) A = { x | x < − 4 } , B = { x | x > 2 } , C = { x | x ≥ − 7 } , D = { x | 0 ≤ x < 5 } A ∩ B
For Exercises 9–20, refer to the sets A , B , C , and D . Determine the union or intersection as indicated. Express the answer in interval notation, if possible. (See Example 2 .) A = { x | x < − 4 } , B = { x | x > 2 } , C = { x | x ≥ − 7 } , D = { x | 0 ≤ x < 5 } A ∩ B
Solution Summary: The author explains the formula used to find the union or intersection of two given sets.
For Exercises 9–20, refer to the sets A, B, C, and D. Determine the union or intersection as indicated. Express the answer in interval notation, if possible. (See Example 2.)
A
=
{
x
|
x
<
−
4
}
,
B
=
{
x
|
x
>
2
}
,
C
=
{
x
|
x
≥
−
7
}
,
D
=
{
x
|
0
≤
x
<
5
}
Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY