Question

Urgent help... looks easy... just can't get it :(0.

Which graph represents the solutions to the inequality |2x − 6| < 4? (5 points)


number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right

number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left

number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right

number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left

Answer 1

Answer: Choice D

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Work Shown:

|2x - 6| < 4
-4 < 2x - 6 < 4
-4 + 6 < 2x - 6 + 6 < 4 + 6
2 < 2x < 10
2/2 < 2x/2 < 10/2
1 < x < 5

Plot open circles at x = 1 and x = 5 on the same number line
The shading will be in between the two open circles

That is why the answer is choice D