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groverparham3
17.12.2019 •
Mathematics
Which of the following systems of inequalities has point c as a solution?
a:
![f(x)\leq 3x+4\\g(x)\leq -\frac{1}{2} x-5\\](/tex.php?f=f(x)\leq 3x+4\\g(x)\leq -\frac{1}{2} x-5\\)
b:
![f(x)\geq 3x+4\\g(x)\leq -\frac{1}{2} x-5](/tex.php?f=f(x)\geq 3x+4\\g(x)\leq -\frac{1}{2} x-5)
c:
f(x) ≤ 3x + 4
![g(x)\geq -\frac{1}{2}x-5](/tex.php?f=g(x)\geq -\frac{1}{2}x-5)
d:
f(x) ≥ 3x + 4
![g(x)\geq -\frac{1}{2} x-5](/tex.php?f=g(x)\geq -\frac{1}{2} x-5)
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Ответ:
Option A.
Step-by-step explanation:
we know that
If point C is a solution of the system of inequalities, then point C must satisfy both inequalities
Point C is located below the solid line f(x) and below the solid line g(x)
so
The shaded region of the solution set of the system must be below of the inequality f(x) and must be below of the inequality g(x)
therefore
The system is
Ответ:
I hope this helps!