Question 146989
Let's solve the first inequality {{{(2x-1)/4<=-3}}}:



{{{(2x-1)/4<=-3}}} Start with the first inequality.



{{{cross(4)((2x-1)/cross(4))<=4(-3)}}} Multiply both sides by {{{4}}}.



{{{2x-1<=-12}}} Multiply.



{{{2x<=-12+1}}} Add {{{1}}} to both sides.



{{{2x<=-11}}} Combine like terms on the right side.



{{{x<=(-11)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



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Now let's solve the second inequality {{{(2x-1)/4>=8}}}:



{{{(2x-1)/4>=8}}} Start with the second inequality.



{{{cross(4)((2x-1)/cross(4))>=4(8)}}} Multiply both sides by {{{4}}}.



{{{2x-1>=32}}} Multiply.



{{{2x>=32+1}}} Add {{{1}}} to both sides.



{{{2x>=33}}} Combine like terms on the right side.



{{{x>=(33)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



So our answer is {{{x<=-11/2}}} <font size="4"><b>or</b></font>  {{{x>=33/2}}}