Help me solve problem 7

Answers:

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Work Shown:

3 < 2x+1 < 13

3-1 < 2x+1-1 < 13-1 .... subtract 1 from all sides

2 < 2x < 12

2/2 < 2x/2 < 12/2 ... divide both sides by 2

1 < x < 6

The value of x is between 1 and 6, excluding both endpoints.

Since we exclude both endpoints, the graph will have open holes at 1 and 6 on the number line. The shading is between the open holes. The graph is below.

Converting 1 < x <6 to interval notation leads to (1, 6)

The curved parenthesis in interval notation indicate "exclude the endpoint".

bro how did you do this