Answer :

chudung1976
+ We have only check for the point O(0;0)
y + 3x ≥ 2 we have 0+3x0≥ 2 is wrong, we cannot choose a)
y + 4 ≥ 1/2x
+ We try to check the point (0;-5) for y + 3x ≥ 2  and wrong we cannot choose b)
+ We try to check the point (5;0) for y + 3x ≥ 2  and y + 4 ≥ 1/2x all right, so we choose d)

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Answer:

The graph which represents the system of inequalities is:

                       Graph d.

Step-by-step explanation:

The system of inequalities is given as follows:

[tex]y+3x\geq 2\\\\y+4\geq \dfrac{1}{2}x[/tex]

  • The graph of the first inequality is a straight solid  line ( since the inequality is not strict ) that passes through (0,2) and (2/3,0) and the shaded region is away from the origin ( as it fails the zero point test )
  • The graph of second inequality is a straight solid line (since the inequality is  not strict) that passes through (0,-4) and (8,0) and the shaded region is towards the origin (since the inequality passes the zero point test)

                        The answer is: Graph d.

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