Answer:
Graph of the inequality x< -3 as shown below in the figure.
Step-by-step explanation:
Given the inequality: x < -3
Graph of this inequality as shown below in the figure.
All the points that are lie in the shaded area satisfy the equation x < -3 or
In other words, we can say that x can take any value less than -3 .
x ≠ -3 or any number that is greater than -3.
Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.
Therefore, the dotted line is marked at x = -3
The result follows directly from properties of modular arithmetic:
That is,
means we can write 
for some integer 
. Then
and taken mod 12, the first term goes away, so
etc
Answer:
7x-17y
Step-by-step explanation:
We need to find the expression which represents the difference when (-2x+10y) is subtracted from (5x−7y) . Let the result is R.
So,
R = (5x−7y)-(-2x+10y)
Solving brackets as follows :
R = (5x−7y)+2x-10y
taking like terms together
R = (5x+2x)+(-7y-10y)
R = 7x-17y
Hence, when (-2x+10y) is subtracted from (5x−7y) the result is (7x-17y).
Answer:
GCF is 6
Step-by-step explanation:
factors are 1,2,3,6
3x + 4y = 18......(2,3)
3(2) + 4(3) = 18
6 + 12 = 18
18 = 18...correct
2x - 2y = 2....(2,3)
2(2) - 2(3) = 2
4 - 6 = 2
-2 = 2...incorrect
when (2,3) is subbed into equation 1, it is true
when (2,3) is subbed into the second equation, it is false
the ordered pair (2,3) is not a solution to the system of linear equations
