Question 146070
Let's solve {{{(4x-7)/8<=-5}}} 



{{{(4x-7)/8<=-5}}} Start with the first inequality.



{{{4x-7<=8(-5)}}} Multiply both sides by 8.



{{{4x-7<=-40}}} Multiply.



{{{4x<=-40+7}}} Add {{{7}}} to both sides.



{{{4x<=-33}}} Combine like terms on the right side.



{{{x<=(-33)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



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Answer:


So our first answer is {{{x<=-33/4}}} 



Which approximates to {{{x<=-8.25}}} 






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Now let's solve {{{(4x-7)/8>=2}}} 



{{{(4x-7)/8>=2}}} Start with the given inequality.



{{{4x-7>=8(2)}}} Multiply both sides by 8.



{{{4x-7>=16}}} Distribute and multiply.



{{{4x>=16+7}}} Add {{{7}}} to both sides.



{{{4x>=23}}} Combine like terms on the right side.



{{{x>=(23)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



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Answer:


So our second answer is {{{x>=23/4}}} 



Which approximates to {{{x>=5.75}}} 






----------------------------- Summary -----------------------------




So the final answer is


{{{x<=-33/4}}} OR {{{x>=23/4}}}



which is approximately



{{{x<=-8.25}}} OR {{{x>=5.75}}}