Question 147203
# 1




Let's see if {{{x=-6}}} is a solution.



{{{x>6}}} Start with the given inequality.



{{{-6>6}}} Plug in {{{x=-6}}}.



Since the inequality {{{-6>6}}} is <font size="4"><b>false</b></font>,this means that {{{x=-6}}} is <font size="4"><b>not</b></font> a solution.



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Let's see if {{{x=0}}} is a solution.



{{{x>6}}} Start with the given inequality.



{{{0>6}}} Plug in {{{x=0}}}.



Since the inequality {{{0>6}}} is <font size="4"><b>false</b></font>,this means that {{{x=0}}} is <font size="4"><b>not</b></font> a solution.



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Let's see if {{{x=6}}} is a solution.



{{{x>6}}} Start with the given inequality.



{{{6>6}}} Plug in {{{x=6}}}.



Since the inequality {{{6>6}}} is <font size="4"><b>false</b></font>,this means that {{{x=6}}} is <font size="4"><b>not</b></font> a solution.



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Let's see if {{{x=8}}} is a solution.



{{{x>6}}} Start with the given inequality.



{{{8>6}}} Plug in {{{x=8}}}.



Since the inequality {{{8>6}}} is <font size="4"><b>true</b></font>,this means that {{{x=8}}} is a solution.



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Answer:



So the only solution of the group is {{{x=8}}}. So the only answer choice is D).




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# 2




Let's see if {{{x=4}}} is a solution.



{{{x<10}}} Start with the given inequality.



{{{4<10}}} Plug in {{{x=4}}}.



Since the inequality {{{4<10}}} is <font size="4"><b>true</b></font>,this means that {{{x=4}}} is a solution.



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Let's see if {{{x=-10}}} is a solution.



{{{x<10}}} Start with the given inequality.



{{{-10<10}}} Plug in {{{x=-10}}}.



Since the inequality {{{-10<10}}} is <font size="4"><b>true</b></font>,this means that {{{x=-10}}} is a solution.



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Let's see if {{{x=0}}} is a solution.



{{{x<10}}} Start with the given inequality.



{{{0<10}}} Plug in {{{x=0}}}.



Since the inequality {{{0<10}}} is <font size="4"><b>true</b></font>,this means that {{{x=0}}} is a solution.



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Let's see if {{{x=11}}} is a solution.



{{{x<10}}} Start with the given inequality.



{{{11<10}}} Plug in {{{x=11}}}.



Since the inequality {{{11<10}}} is <font size="4"><b>false</b></font>,this means that {{{x=11}}} is <font size="4"><b>not</b></font> a solution.



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Answer:



So the solutions of the group are {{{x=4}}}, {{{x=-10}}}, and {{{x=0}}}. So the answer choices are A,B, and C