Question 1086733
<font color="black" face="times" size="3">Solve for x by following PEMDAS in reverse to undo what is being done to x


{{{x/6 - 4 > -1}}}
{{{x/6 - 4+4 > -1+4}}} Add 4 to both sides (to undo the subtraction of 4 on the left side)
{{{x/6 > 3}}}
{{{6*(x/6) > 6*(3)}}} Multiply both sides by 6 (to undo the division by 6)
{{{x > 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/6 - 4 > -1}}}
{{{20/6 - 4 > -1}}}
{{{3.33 - 4 > -1}}}
{{{-0.67 > -1}}} True


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


{{{x/6 - 4 > -1}}}
{{{19/6 - 4 > -1}}}
{{{3.17 - 4 > -1}}}
{{{-0.83 > -1}}} True


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


{{{x/6 - 4 > -1}}}
{{{18/6 - 4 > -1}}}
{{{3 - 4 > -1}}}
{{{-1 > -1}}} False


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


{{{x/6 - 4 > -1}}}
{{{17/6 - 4 > -1}}}
{{{2.83 - 4 > -1}}}
{{{-1.17 > -1}}} False


So that wraps up the check portion.


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Once again, the final answers are choice A and choice B.</font>