Question 146194


{{{1-2x>=7}}} Start with the first inequality.



{{{-2x>=7-1}}} Subtract {{{1}}} from both sides.



{{{-2x>=6}}} Combine like terms on the right side.



{{{x<=(6)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=-3}}} Reduce.


So the first part of our answer is {{{x<=-3}}}



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{{{4x-3>=21}}} Move onto the second inequality.



{{{4x>=21+3}}} Add {{{3}}} to both sides.



{{{4x>=24}}} Combine like terms on the right side.



{{{x>=(24)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



{{{x>=6}}} Reduce.



So the second part of our answer is {{{x>=6}}}



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



So together our answers are


{{{x<=-3}}} and {{{x>=6}}}



However, there is no such number that is less than or equal to -3 AND greater than or equal to 6. So there is no resulting solution set. So it is not possible to graph the solution set.