Question 146067
# 1 


a) 


Let's see if {{{y=5}}} is a solution for the inequality {{{y-9>=2y-4}}}.



{{{y-9>=2y-4}}} Start with the given inequality.



{{{(5)-9>=2*(5)-4}}} Plug in {{{y=5}}}.



{{{-4>=2*(5)-4}}} Evaluate and simplify the left side.



{{{-4>=6}}} Evaluate and simplify the right side.



Since the inequality is <b>not</b> true, this means that {{{y=5}}} is <b>not</b> a solution.



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b)




Let's see if {{{y=-13}}} is a solution for the inequality {{{y-9>=2y-4}}}.



{{{y-9>=2y-4}}} Start with the given inequality.



{{{(-13)-9>=2*(-13)-4}}} Plug in {{{y=-13}}}.



{{{-22>=2*(-13)-4}}} Evaluate and simplify the left side.



{{{-22>=-30}}} Evaluate and simplify the right side.



Since the inequality is <b>true</b>, this means that {{{y=-13}}} is a solution.



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c)




Let's see if {{{y=-18}}} is a solution for the inequality {{{y-9>=2y-4}}}.



{{{y-9>=2y-4}}} Start with the given inequality.



{{{(-18)-9>=2*(-18)-4}}} Plug in {{{y=-18}}}.



{{{-27>=2*(-18)-4}}} Evaluate and simplify the left side.



{{{-27>=-40}}} Evaluate and simplify the right side.



Since the inequality is <b>true</b>, this means that {{{y=-18}}} is a solution.



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d)




Let's see if {{{y=-1}}} is a solution for the inequality {{{y-9>=2y-4}}}.



{{{y-9>=2y-4}}} Start with the given inequality.



{{{(-1)-9>=2*(-1)-4}}} Plug in {{{y=-1}}}.



{{{-10>=2*(-1)-4}}} Evaluate and simplify the left side.



{{{-10>=-6}}} Evaluate and simplify the right side.



Since the inequality is <b>not</b> true, this means that {{{y=-1}}} is <b>not</b> a solution.





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




So {{{y=-13}}} and {{{y=-18}}} are the only solutions of the group.