we will proceed to resolve each case to determine the solution
we have
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality
-------> is true
so
The ordered pair is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality
-------> is True
so
The ordered pair is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
Sorry, it's late, and I'm a bad explainer.
The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.
A straight line is also 180°.
(2x - 12) + ? = 180
30 + x + ? = 180
If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)
2x - 12 = 30 + x
x = 42
Now you plug 42 into the exterior angle equation
2(42) - 12 = 84 - 12 = 72°
Answer:
Step-by-step explanation:
First, make sure you know which section of the number line you want as 1 and 2. Next, put 0.25 not right at 0 but very close, then put 0.75 farther but not too much from 0.25. Then for the decimal 1.99 put that very close to where you marked the 2 but, not on the 2. Finally, put 2.03 very close to 2 but not exactly on the 2. Also, make sure that the number line is marked evenly.
.Answer:
Step-by-step explanation:
