If a system of two inequalities has a solution, then their two half planes intersect , true or false ?
1 answer:
Answer: The answer is true.
Step-by-step explanation: The given statement is
'If a system of two inequalities has a solution, then their two half planes intersect'.
We are to check whether the statement is true or false.
Let a system of two inequalities be
These inequalities has a solution, for example, x = 2, y = 1.
Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.
Thus, the given statement is TRUE.
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A protractor will only give accurate measurements if its geometry is perfect. Some printers will scale a figure differently in horizontal and vertical directions, so will make the protractor scale be elliptical instead of circular. That will give wrong readings.
