SOLUTION: 1) Determine whether the given numbers are solutions of the inequality. 5,-13,-18,-1 {{{y-9>=2y-4}}}

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Question 146067: 1) Determine whether the given numbers are solutions of the inequality.
5,-13,-18,-1

y-9%3E=2y-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

a)

Let's see if y=5 is a solution for the inequality y-9%3E=2y-4.


y-9%3E=2y-4 Start with the given inequality.


%285%29-9%3E=2%2A%285%29-4 Plug in y=5.


-4%3E=2%2A%285%29-4 Evaluate and simplify the left side.


-4%3E=6 Evaluate and simplify the right side.


Since the inequality is not true, this means that y=5 is not a solution.


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b)



Let's see if y=-13 is a solution for the inequality y-9%3E=2y-4.


y-9%3E=2y-4 Start with the given inequality.


%28-13%29-9%3E=2%2A%28-13%29-4 Plug in y=-13.


-22%3E=2%2A%28-13%29-4 Evaluate and simplify the left side.


-22%3E=-30 Evaluate and simplify the right side.


Since the inequality is true, 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%3E=2y-4.


y-9%3E=2y-4 Start with the given inequality.


%28-18%29-9%3E=2%2A%28-18%29-4 Plug in y=-18.


-27%3E=2%2A%28-18%29-4 Evaluate and simplify the left side.


-27%3E=-40 Evaluate and simplify the right side.


Since the inequality is true, 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%3E=2y-4.


y-9%3E=2y-4 Start with the given inequality.


%28-1%29-9%3E=2%2A%28-1%29-4 Plug in y=-1.


-10%3E=2%2A%28-1%29-4 Evaluate and simplify the left side.


-10%3E=-6 Evaluate and simplify the right side.


Since the inequality is not true, this means that y=-1 is not a solution.




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