Simply make the line, and then add the units equally.
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1/4 1/2 1 1 1/4 1 1/2
It is not because always remember, a positive is greater than a negative. This equation is showing a negative being greater than a positive. That's like saying I'm taller than you.
What do you need help with? it helps us to know the question!
Answer:
The answer to this question is x=2
we will proceed to verify each case to determine the solution of the problem
we know that
If the ordered pair is a solution of the inequality , then the ordered pair must be satisfied the inequality
we have
![y-3x < -4](https://tex.z-dn.net/?f=y-3x%20%3C%20-4)
<u>case A</u> point ![(4,-2)](https://tex.z-dn.net/?f=%284%2C-2%29)
Substitute the values of x and y in the inequality
![-2-3*4 < -4](https://tex.z-dn.net/?f=-2-3%2A4%20%3C%20-4)
-------> is true
therefore
the pair ordered
is a solution of the inequality
<u>case B</u> point ![(0,-3)](https://tex.z-dn.net/?f=%280%2C-3%29)
Substitute the values of x and y in the inequality
![-3-3*0 < -4](https://tex.z-dn.net/?f=-3-3%2A0%20%3C%20-4)
-------> is false
therefore
the pair ordered
is not a solution of the inequality
<u>case C</u> point ![(5,1)](https://tex.z-dn.net/?f=%285%2C1%29)
Substitute the values of x and y in the inequality
![1-3*5 < -4](https://tex.z-dn.net/?f=1-3%2A5%20%3C%20-4)
-------> is true
therefore
the pair ordered
is a solution of the inequality
<u>case D</u> point ![(-3,0)](https://tex.z-dn.net/?f=%28-3%2C0%29)
Substitute the values of x and y in the inequality
![0-3*(-3) < -4](https://tex.z-dn.net/?f=0-3%2A%28-3%29%20%3C%20-4)
-------> is false
therefore
the pair ordered
is not a solution of the inequality
<u>case E</u> point ![(1,-1)](https://tex.z-dn.net/?f=%281%2C-1%29)
Substitute the values of x and y in the inequality
![-1-3*(1) < -4](https://tex.z-dn.net/?f=-1-3%2A%281%29%20%3C%20-4)
-------> is false
therefore
the pair ordered
is not a solution of the inequality
therefore
<u>the answer is</u>
![(4,-2)](https://tex.z-dn.net/?f=%284%2C-2%29)
![(5,1)](https://tex.z-dn.net/?f=%285%2C1%29)