<span>a.{x | x is a real number such that x^2 = 1}
x^2 = 1 => x = +/- 1
=> {-1, 1} <------ answer
b.{x | x is a positive integer less than 12}
1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer
c.{x | x is the square of an integer and x < 100}
x = n^2 < 100 => n^2 - 100 < 0
=> (n - 10) (n + 10) < 0
=> a) n - 10 > 0 and n + 10 < 0 => n > 10 and n < - 10 which is not possible
b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10
=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer
d.{x | x is an integer such that x^2 = 2}
</span>
x = {∅ } because x is √2 which is not an interger but an irrational number
=> Answer: { ∅ }
Answer:
Multiplying any number by .25
Step-by-step explanation:
This is dependent on what number you are trying to find.
To find 25% of a number; multiply the number by .25 (This is most common)
To find a 25% discount; multiply by .25 then subtract that number from the original number (e.x. 100 x .25 = 25 then 100 - 25 = 75)
These are the two most common, if there is another way you are trying to find feel free to comment, or shoot me a message. I am happy to help!
Therefore the graph represents a non linear function.
Example of a linear function
ax+by=c
Example of non linear function
y²= 4ax
Step-by-step explanation:
The equation of line which passes through the line (0,4)and(1,8) is
[ here 
and 
]
If a line passes through the points(0,4) ,(1,8) and (2,10) .Then (2,10) will satisfies the equation of line.
L.H.S = 10 -4(2) -4
=10-8-4
=-2 ≠ R.H.S
Therefore the graph represents a non linear function.
Example of a linear function
ax+by=c
Example of non linear function
y²= 4ax
Where x is the first integer and x+1 is the second integer
x + (x+1) = -49
2x = -50
x = -25
x + 1 = -24
