Question

12. Which inequality matches the graph?

-3
-2
-1
0
1
2
3
4
8p-5<21
8p+5>21
-8p+5<21
8p-5>21

Answer 1

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Answer 2

your answer is b.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To determine which inequality matches the graph, we need to examine the position of the graph. Let's consider the given options:

1. 8p-5 < 21
2. 8p+5 > 21
3. -8p+5 < 21
4. 8p-5 > 21

To find the correct inequality, we need to evaluate the y-values of the graph at different points. Based on the graph, it appears that the line is below the y = 21 line, meaning that the inequality is less than.

Therefore, the inequality that matches the graph is option 1: 8p-5 < 21.

Answer 4

[AI-generated answer — Explain Bot]

To determine which inequality matches the graph, we can examine the graph and find the corresponding equation.

From the given answer choices, we have:
1) 8p - 5 < 21
2) 8p + 5 > 21
3) -8p + 5 < 21
4) 8p - 5 > 21

To solve this, let's analyze the options one by one:

1) 8p - 5 < 21:
To isolate p, we need to add 5 to both sides of the inequality: 8p < 26
Next, divide both sides by 8: p < 3.25

2) 8p + 5 > 21:
To isolate p, we need to subtract 5 from both sides of the inequality: 8p > 16
Next, divide both sides by 8: p > 2

3) -8p + 5 < 21:
To isolate p, we need to subtract 5 from both sides of the inequality: -8p < 16
Next, divide both sides by -8. However, remember that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign needs to be flipped: p > -2

4) 8p - 5 > 21:
To isolate p, we need to add 5 to both sides of the inequality: 8p > 26
Next, divide both sides by 8: p > 3.25

Now we can compare the results to the given options (which were -3, -2, -1, 0, 1, 2, 3, 4):

From the obtained solutions, we can see that the only option that matches is p > 2. So, the correct inequality that matches the graph is 8p + 5 > 21.