Answer:
1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}
Step-by-step explanation:
We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.
x + 1 < 5
x < 4 . . . . . . . subtract 1
__
x -4 > -3
x > 1 . . . . . . . add 4
So, the solution is ...
(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions
As a compound inequality, this is written ...
1 < x < 4
_____
<em>Comment on the problem</em>
The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:

Lets look at the statements one by one.
<u>i. 4∈C</u>
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
<u>ii. 5∈C</u>
This statement is true as 5 is a member of C.
<u>iii. A=B</u>
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
<u>iv. B=C</u>
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Answer:You can divide 54.50 by just 20% with it being 272.5
Step-by-step explanation: You can use it be fraction by dividing it by 20 then you have 2.725 which is the answer.
Answer:
±sqrt( (vf) ^2 -2ad)) = vi
Step-by-step explanation:
(vf) ^2 = (vi)^2 +2ad
Subtract 2ad from each side
(vf) ^2 -2ad = (vi)^2 +2ad -2ad
(vf) ^2 -2ad = (vi)^2
Take the square root of each side
±sqrt((vf) ^2 -2ad)) = sqrt((vi)^2)
±sqrt( (vf) ^2 -2ad)) = vi