The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:
From 
we get ,
Therefore solution set is x=2.
Now, for 
we get ,
Therefore solution set is x>2.
For 
we get ,
Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!
Answer:
1,2 and 4 are equivalents. 3 is not equivalent
2P-I, mark that one :l
Step-by-step explanation:
Step-by-step answer:
Given:
Initial monthly salary = $5000
New salary = 10% less
Salary a year after = 15% more
Solution:
New salary
= 5000 * (100-10)%
= 5000 * 90%
= 5000 * 90/100
= 4500
Salary a year after
= 4500 * (100+15%)
= 4500 * 115%
= 4500 * 115/100
= 45*115
= 5175
Neither train a or train b
Answer: the farmer has 19 cows.
Step-by-step explanation:
Let x represent the number of cows that the farmer has.
Let y represent the number of chicken that the farmer has.
The farmer has a total of 40 animals. It means that
x + y = 40
A cow has 4 legs. A chicken has 2 legs. One day he counts the legs of all his animals and realizes he has a total of 118 legs. It means that
4x + 2y = 118- - - - - - - - 1
Substituting x = 40 - y into equation 1, it becomes
4(40 - y) + 2y = 118
160 - 4y + 2y = 118
- 4y + 2y = 118 - 160
- 2y = - 42
y = - 42/ - 2
y = 21
x = 40 - y = 40 - 21
x = 19
