SOLUTION: Determine whether the given number is a solution on the inequality/ Mark all that apply. x>6 A) -6 b)0 c)6 d)8 x<10 A)4 B) -10 C)0 D)11

Algebra ->  Inequalities -> SOLUTION: Determine whether the given number is a solution on the inequality/ Mark all that apply. x>6 A) -6 b)0 c)6 d)8 x<10 A)4 B) -10 C)0 D)11       Log On


   

Question 147203: Determine whether the given number is a solution on the inequality/ Mark all that apply.
x>6
A) -6 b)0 c)6 d)8
x<10
A)4 B) -10 C)0 D)11

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



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


x%3E6 Start with the given inequality.


-6%3E6 Plug in x=-6.


Since the inequality -6%3E6 is false,this means that x=-6 is not a solution.


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


x%3E6 Start with the given inequality.


0%3E6 Plug in x=0.


Since the inequality 0%3E6 is false,this means that x=0 is not a solution.


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


x%3E6 Start with the given inequality.


6%3E6 Plug in x=6.


Since the inequality 6%3E6 is false,this means that x=6 is not a solution.


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


x%3E6 Start with the given inequality.


8%3E6 Plug in x=8.


Since the inequality 8%3E6 is true,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).






# 2



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


x%3C10 Start with the given inequality.


4%3C10 Plug in x=4.


Since the inequality 4%3C10 is true,this means that x=4 is a solution.


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


x%3C10 Start with the given inequality.


-10%3C10 Plug in x=-10.


Since the inequality -10%3C10 is true,this means that x=-10 is a solution.


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


x%3C10 Start with the given inequality.


0%3C10 Plug in x=0.


Since the inequality 0%3C10 is true,this means that x=0 is a solution.


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


x%3C10 Start with the given inequality.


11%3C10 Plug in x=11.


Since the inequality 11%3C10 is false,this means that x=11 is not 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