Question 536564
Please post questions one at a time. Thank you.



# 1


{{{5x-49>=6-8(2x+7)}}} Start with the given inequality.



{{{5x-49>=6-16x-56}}} Distribute.



{{{5x-49>=-16x-50}}} Combine like terms on the right side.



{{{5x>=-16x-50+49}}} Add {{{49}}} to both sides.



{{{5x+16x>=-50+49}}} Add {{{16x}}} to both sides.



{{{21x>=-50+49}}} Combine like terms on the left side.



{{{21x>=-1}}} Combine like terms on the right side.



{{{x>=(-1)/(21)}}} Divide both sides by {{{21}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>=-1/21}}} 


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# 2


{{{-8-11(3x+7)<=4(x-9)}}} Start with the given inequality.



{{{-8-33x-77<=4x-36}}} Distribute.



{{{-33x-85<=4x-36}}} Combine like terms on the left side.



{{{-33x<=4x-36+85}}} Add {{{85}}} to both sides.



{{{-33x-4x<=-36+85}}} Subtract {{{4x}}} from both sides.



{{{-37x<=-36+85}}} Combine like terms on the left side.



{{{-37x<=49}}} Combine like terms on the right side.



{{{x>=(49)/(-37)}}} Divide both sides by {{{-37}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=-49/37}}} Reduce.



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Answer:


So the solution is {{{x>=-49/37}}} 



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