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miss Akunina [59]
4 years ago
6

6x + 1 = 2(3x - 2) + 5 A) x = 0 B) x = 12 C) x = 1 12 D) infinitely many solutions

Mathematics
2 answers:
wlad13 [49]4 years ago
5 0

6x + 1 = 2(3x - 2) + 5

6x + 1 = 6x - 4 + 5

6x + 1 = 6x + 1

6x = 6x

x = x

D.) Infinitely many solutions

Alex17521 [72]4 years ago
3 0

Answer:

D) infinitely many solutions

Step-by-step explanation:

6x + 1 = 2(3x - 2) + 5

Distribute

6x+1 = 6x -4+5

Combine like terms

6x+1 = 6x+1

Subtract 6x from each side

6x-6x+1 = 6x-6x+1

1=1

This is always true, so x has infinite solutions

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Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

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This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

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