Use inverse operations to solve for y:

Question

y + 8 > 10

(1 point)
Responses

y < 2
y < 2

y > 18
y > 18

y < 18
y < 18

y > 2

Use the image to answer the question.

Weston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

(1 point)
Responses

m + 0.5 ≥ 0.5
m + 0.5 ≥ 0.5

m + 5 ≥ 6
m + 5 ≥ 6

m − 0.5 ≤ 0.5
m − 0.5 ≤ 0.5

m − 1 > 0
m − 1 > 0
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page 15 of 15

Answer 1

To solve the first inequality:

y + 8 > 10

1. Subtract 8 from both sides to isolate y: \[ y + 8 - 8 > 10 - 8 \] This simplifies to: \[ y > 2 \]

So the correct response for the first question is: y > 2

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For the second question, to determine which inequality Weston solved based on the graph, we would need the visual representation to directly analyze it. However, based on the provided options, we can evaluate each to see which one results in a consistent graph alignment based on typical inequalities' behavior:

1. m + 0.5 ≥ 0.5 implies m ≥ 0, which would be a closed dot at 0.
2. m + 5 ≥ 6 implies m ≥ 1, which would also be a closed dot at 1.
3. m - 0.5 ≤ 0.5 implies m ≤ 1, which would result in a closed dot at 1 but shading to the left.
4. m - 1 > 0 implies m > 1, which would be an open dot at 1, shading to the right.

Without seeing the number line in the image, if the shading is to the right and (assuming the dot is open), then the correct inequality would likely be:

m - 1 > 0

Otherwise, if the shading is to the left with a closed dot, it would instead be:

m - 0.5 ≤ 0.5

Please refer to the number line image you mentioned for clarification. If the dot is open, select the corresponding inequality accordingly.