Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function 
to exist the denominator must be ≠ 0
We have the denominator 
which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for 
Subtracting both sides by 6.
Dividing both sides by 2.
∴ 
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as:
Answer:
(4, - 1)
(-1, 6)
Step-by-step explanation:
Given the expression :
3x+y<14
Test the opprions to find out the true statement.
(7, - 7)
3(7) + (-7) < 14
21 - 7 < 14
15 < 14 (not true)
(-1, 6)
3(-1) + 6 < 14
3 + 6 < 14
9 < 14 ( true)
(3, 6)
3(3) + 6 < 14
9 + 6 < 14 ( not true)
(4, - 1)
3(4) - 1 < 14
12 - 1 < 14 ( true)
(6,0)
3(6) + 0 < 14
18 < 14 ( not true)
