Question

I need help with this does anybody know how to do this??? its #2. I also need help on the graphing

Answer 1

• y ≥ 5
• see attached for a graph

Explanation:

It appears you want the solution and a graph for the inequality ...

`(3)/(16)+(1)/(8)y\ge(13)/(16)`

Solution

We can clear fractions by multiplying both sides by 16:

3 +2y ≥ 13

2y ≥ 10 . . . . . . . subtract 3

y ≥ 5 . . . . . . . . . divide by 2

The solution to the inequality is y ≥ 5.

Graph

The graph is created by plotting the boundary point on a numberline. The solution tells you that values of y that are 5 or more will be included, so the number line is shaded to the right of the boundary point.

The point is a solid circle, since the value y=5 is included in the solution set.

See the attachment for the graph.

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Additional comment

If the solution were y > 5, then the boundary point would be drawn as an open circle.

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