Respuesta :
The graph attached below shows the graph of the above functions f(x) and g(x). The points lie in the shaded region of the graph of f(x) and g(x). So, according to the graph attached below this option is correct.
Given:
f(x) = 3x+4
g(x) = -0.5x-5
Check option wise which systems of inequalities has point D as a solution:
A)
Given :
[tex]\rm f(x) \leq 3x+4[/tex]
[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]
Draw the graph of both the given function in order to determine point D lies in it or not.
The graph attached below shows the graph of the above function. So, according to the attached graph, this option is incorrect.
B)
Given:
[tex]\rm f(x) \geq 3x+4[/tex]
[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]
Draw the graph of both the given function in order to determine point D lies in it or not.
The graph attached below shows the graph of the above function. So, according to the graph attached below this option is incorrect.
C)
Given :
[tex]\rm f(x)\leq 3x+4[/tex]
[tex]\rm g(x) \geq -\dfrac{1}{2}x-5[/tex]
Draw the graph of both the given function in order to determine point D lies in it or not.
The graph attached below shows the graph of the above function. So, according to the graph attached below this option is correct. Therefore, don't check the further options.
For more information, refer to the link given below:
https://brainly.com/question/25140435
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