SOLUTION: Which of the following numbers would be in the solution set of this inequality? Mark all that apply. x/6 - 4 > -1 20 19 18 17

Algebra ->  Inequalities -> SOLUTION: Which of the following numbers would be in the solution set of this inequality? Mark all that apply. x/6 - 4 > -1 20 19 18 17      Log On


   



Question 1086733: Which of the following numbers would be in the solution set of this inequality? Mark all that apply.
x/6 - 4 > -1

20
19

18

17

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x by following PEMDAS in reverse to undo what is being done to x

x%2F6+-+4+%3E+-1
x%2F6+-+4%2B4+%3E+-1%2B4 Add 4 to both sides (to undo the subtraction of 4 on the left side)
x%2F6+%3E+3
6%2A%28x%2F6%29+%3E+6%2A%283%29 Multiply both sides by 6 (to undo the division by 6)
x+%3E+18

So any number larger than 18 will work. This means that the answers are A) 20 and B) 19.

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We can check each answer choice by plugging in the x value in question

Checking choice A: Plug in x = 20

x%2F6+-+4+%3E+-1
20%2F6+-+4+%3E+-1
3.33+-+4+%3E+-1
-0.67+%3E+-1 True

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Do the same for choice B. Now plug in x = 19

x%2F6+-+4+%3E+-1
19%2F6+-+4+%3E+-1
3.17+-+4+%3E+-1
-0.83+%3E+-1 True

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So far we've confirmed that A and B are the answers. Let's try choice C

x%2F6+-+4+%3E+-1
18%2F6+-+4+%3E+-1
3+-+4+%3E+-1
-1+%3E+-1 False

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Now let's try choice D. Plug in x = 17

x%2F6+-+4+%3E+-1
17%2F6+-+4+%3E+-1
2.83+-+4+%3E+-1
-1.17+%3E+-1 False

So that wraps up the check portion.

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Once again, the final answers are choice A and choice B.