Question

Which inequality describes "the sum of x and 12 is greater than 75"?
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1 point
x + 12 > 75
x + 12 = 75
x -12 = 75
x + 12 < 75
Solve the inequality.
x + 6 > -24
*
1 point
x < 18
x > -18
x < 30
x > -30
Which of the following graphs represents the solution to the inequality below?
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1 point
Captionless Image
A
B
C
D
Solve the following inequality.
12x + 40 < 304
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1 point
x = 18
x < 22
x > 24
x = 25
Solve the following inequality
*
1 point
Captionless Image

A

B

C

D

Answer 1

Let's break down your questions one by one.

1. To describe "the sum of x and 12 is greater than 75" mathematically, we get the inequality:

**x + 12 > 75**

So, the first correct answer is: **x + 12 > 75**.

2. To solve the inequality **x + 6 > -24**, we subtract 6 from both sides:

\[
x + 6 > -24 \\
x > -24 - 6 \\
x > -30
\]

So, the answer is: **x > -30**.

3. For the graph representation of the solutions, I'm unable to see the graphs you mentioned. Please provide more detail or describe the graphs, and I can help you determine which one represents the solution.

4. To solve the inequality **12x + 40 < 304**, we first subtract 40 from both sides:

\[
12x < 304 - 40 \\
12x < 264
\]

Next, divide both sides by 12:

\[
x < \frac{264}{12} \\
x < 22
\]

So, the answer is: **x < 22**.

5. Again, for the graph representation of another inequality you mentioned, I need more details about the graphs to assist you.

If you provide additional information or describe the graphs, I'd be glad to help further!