Question 146323


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



{{{x-2>9}}} Start with the given inequality.



{{{(-4)-2>9}}} Plug in {{{x=-4}}}.



{{{-6>9}}} Evaluate and simplify the left side.



Since the inequality is <b>not</b> true, this means that {{{x=-4}}} is <b>not</b> a solution.



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Let's see if {{{x=0}}} is a solution for the inequality {{{x-2>9}}}.



{{{x-2>9}}} Start with the given inequality.



{{{(0)-2>9}}} Plug in {{{x=0}}}.



{{{-2>9}}} Evaluate and simplify the left side.



Since the inequality is <b>not</b> true, this means that {{{x=0}}} is <b>not</b> a solution.



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Let's see if {{{x=15}}} is a solution for the inequality {{{x-2>9}}}.



{{{x-2>9}}} Start with the given inequality.



{{{(15)-2>9}}} Plug in {{{x=15}}}.



{{{13>9}}} Evaluate and simplify the left side.



Since the inequality is <b>true</b>, this means that {{{x=15}}} is a solution.




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



So the only solution to the inequality {{{x-2>9}}} is {{{x=15}}}