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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:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches
One cut is 16 inches
So, we divide the length of the board by 16
So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of pieces of each 16 inches long can be cut from the two boards.