Question 146606
Let's see if {{{y=3}}} is a solution for the inequality {{{y-10>2y-3}}}.



{{{y-10>2y-3}}} Start with the given inequality.



{{{(3)-10>2*(3)-3}}} Plug in {{{y=3}}}.



{{{-7>2*(3)-3}}} Evaluate and simplify the left side.



{{{-7>3}}} Evaluate and simplify the right side.



Since the inequality is <b>not</b> true, this means that {{{y=3}}} is <b>not</b> a solution.


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Let's see if {{{y=-14}}} is a solution for the inequality {{{y-10>2y-3}}}.



{{{y-10>2y-3}}} Start with the given inequality.



{{{(-14)-10>2*(-14)-3}}} Plug in {{{y=-14}}}.



{{{-24>2*(-14)-3}}} Evaluate and simplify the left side.



{{{-24>-31}}} Evaluate and simplify the right side.



Since the inequality is <b>true</b>, this means that {{{y=-14}}} is a solution.



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Let's see if {{{y=-13}}} is a solution for the inequality {{{y-10>2y-3}}}.



{{{y-10>2y-3}}} Start with the given inequality.



{{{(-13)-10>2*(-13)-3}}} Plug in {{{y=-13}}}.



{{{-23>2*(-13)-3}}} Evaluate and simplify the left side.



{{{-23>-29}}} 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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Let's see if {{{y=-3}}} is a solution for the inequality {{{y-10>2y-3}}}.



{{{y-10>2y-3}}} Start with the given inequality.



{{{(-3)-10>2*(-3)-3}}} Plug in {{{y=-3}}}.



{{{-13>2*(-3)-3}}} Evaluate and simplify the left side.



{{{-13>-9}}} Evaluate and simplify the right side.



Since the inequality is <b>not</b> true, this means that {{{y=-3}}} is <b>not</b> a solution.




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


So only {{{y=-14}}} and {{{y=-13}}} are solutions of the group