Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D. f(x) ≤ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≤ 3x + 4 g of x is greater than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is greater than or equal to negative one half times x minus 5

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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