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Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
Answer:
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
- A(-4, 4)
- B(2, 5)
Finding the length of AB using the formula
units
Given the vertices of the segment JK
- J(2, 2)
- K(7, 2)
From the graph, it is clear that the length of JK = 5 units
so
units
Given the vertices of the segment GH
- G(-5, -2)
- H(-2, -2)
Finding the length of GH using the formula
units
Thus, from the calculations, it is clear that:
Thus,
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false