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## anonymous one year ago Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation 1: |x-4|=6 Equation 2:|3x + 12| = 18 Answer Choices: A. Equation #1 and #2 have the same number of solutions B. Equation #1 has more solutions than Equation #2 C. Equation #1 has fewer solutions than Equation #2 D. None of the statements above describe the number of solutions to equations shown. Delete Cancel Submit

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1. anonymous
• one year ago
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Im thinking A but I want to be sure im correct

2. anonymous
• one year ago
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Yes, they would have the same amount of solutions. You have 2 solutions for the first and 2 for the second.

3. anonymous
• one year ago
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thats what i got also, thanks for the help! :)

4. anonymous
• one year ago
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Do you think you could help with one more? @LegendarySadist

5. anonymous
• one year ago
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$\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile$

6. anonymous
• one year ago
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And sure, I can help with one more.

7. anonymous
• one year ago
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Choose the correct description of the graph of the compound inequality: x - 1 less than or greater to 7 or 2x greater than or equal to 22 Do you need answer choices?

8. anonymous
• one year ago
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$x - 1 \le 7 or 2x \ge22$

9. anonymous
• one year ago
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So $\large x-1 \leq 7~~or~~2x \geq 22$

10. anonymous
• one year ago
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Use ~ to create spaces in Latex :)

11. anonymous
• one year ago
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yes thats right, sorry im new to this haha

12. anonymous
• one year ago
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It's ok, I only learned about that yesterday.

13. anonymous
• one year ago
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Do you need the answer choices?

14. anonymous
• one year ago
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It'd be easier to see what I'm looking for, yeah.

15. anonymous
• one year ago
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okay give me a second to type everything out

16. anonymous
• one year ago
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Kk, sounds good

17. anonymous
• one year ago
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A: A number line with an open circle on 8,shading to the left, an open circle on 11, shading to the right. B: A number line with an open circle on 8, an open circle on 11, and shading in between. C: A number line with a closed circle on 8, a closed circle on 11, shading in between. D: A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

18. anonymous
• one year ago
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First distinction we make in the answer choices is that one uses open circles and the other closed circles. Closed circles are used for $\large \leq ~~and~~ \geq$ while open circles are used for $\large <~~and~~>$ So that means we can rule A and B out immediately. So our next distinction between C and D is that C has the shading between 8 and 11, while D has $\large -\infty \leftarrow 8~~and~~11 \rightarrow \infty$ To figure out this one, just plug in a couple of x values, one below 8, one between 8 and 11, and one above 11. Depending on which ones work out will give you the answer.

19. anonymous
• one year ago
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im confuse a little as to how i add in x values

20. anonymous
• one year ago
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can you show me an example?

21. anonymous
• one year ago
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$\large x-1 \leq 7\\\large 5-1 \leq 7\\\large 4 \leq 7$ Plugged in 5 for x

22. anonymous
• one year ago
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would the shading be between the numbers or going separate ways?

23. anonymous
• one year ago
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Well the shading means what x values are acceptable. If only x values between 8 and 11 fit one of the equations, it's between. If only values below 8 or above 11 fit, it would be separate ways.

24. anonymous
• one year ago
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so it would be C, correct?

25. anonymous
• one year ago
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Well let me ask you, was 5 an acceptable x? Would 9 be an acceptable x for either of them?

26. anonymous
• one year ago
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yes 5 was because 7 is greater then 5 but 9 would not be because 9 is greater than 7

27. anonymous
• one year ago
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So if the shading is between, you're saying that the acceptable x's are 8,9,10, and 11 ONLY. If it's outside, you're saying everything BUT 9 and 10 are acceptable.

28. anonymous
• one year ago
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Which statement matches the info that we have?

29. anonymous
• one year ago
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anything under 7 is exceptiable

30. anonymous
• one year ago
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im sorry im confused

31. anonymous
• one year ago
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Ok, let's give you a visual representation. Go to www.desmos.com/calculator and plug in the two inequalities.

32. anonymous
• one year ago
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I just got a straight white line down the middle of two lines

33. anonymous
• one year ago
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Is it all red except for one small sliver of white?

34. anonymous
• one year ago
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yes

35. anonymous
• one year ago
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Well the red is the "shading' in the question.

36. anonymous
• one year ago
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oh okay i unserstand. so D. because the shading goes seperate ways.

37. anonymous
• one year ago
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Right, it would be D

38. anonymous
• one year ago
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Awesome! Thanks so much

39. anonymous
• one year ago
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$\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile$

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