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aleksandr82 [10.1K]
1 year ago
9

Which of the following graphs shows the solution for the inequality y - 4 > 2(x + 2)?

Mathematics
2 answers:
Murljashka [212]1 year ago
6 0

Answer:

D. Graph C

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

to test the direction, take (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

dangina [55]1 year ago
6 0

Answer:

  D.  Graph C

Step-by-step explanation:

For many of these inequality graphing problems, you only need to consider two things:

  • which side of the boundary line is shaded
  • is the boundary line solid or dashed.

__

You can pick any variable in the inequality that has a <em>positive</em> coefficient. Write that variable in the same relation with the inequality symbol that it has in the inequality. Here, that will be either of ...

  • y >
  • > x

These tell you the answers to both questions above.

<h3>line type</h3>

The inequality symbol does not include the "or equal to" (≥), so the boundary line is not part of the solution. The boundary line is <em>dashed</em>.

<h3>shading</h3>

The y values in the solution set are greater than those on the boundary line, so shading is <em>above</em>. The x-values in the solution set are less than those on the boundary line, so shading is to the <em>left</em>. (The boundary line has positive slope, so "above" and "left" are the same thing.)

The only graph with a dashed boundary line and shading above it is Graph C.

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