gabbee
19.07.2019 •
Mathematics
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 in which section of the graph does the actual solution to the system lie? a. 1 b. 2 c. 3 d. 4
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Ответ:
The actual solution lie in region 4.
EXPLANATION
The given system of inequalities are
Choose a point from each region and substitute in to the system of inequalities, the one that satisfies the system simultaneously is the actual solution.
Region 2: We test for
Thus,
The above statement is false.
For region 1: We test for
The first statement is true but the second statement is false, so the whole thing is false.
For Region 3: We test
The first statement is false and the second is true so the whole statement is not true.
For region 4: We test
Both statements are true, region 4 represents the actual solution to the system.
Ответ: