SOLUTION: determine whether the given numbers are solutions of the inequality 3,-14,-13,-3 y-10>2y-3 Is 3 a solution Is -14 a solution Is -13 a solution Is -3 a solution

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Question 146606: determine whether the given numbers are solutions of the inequality
3,-14,-13,-3
y-10>2y-3
Is 3 a solution
Is -14 a solution
Is -13 a solution
Is -3 a solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see if y=3 is a solution for the inequality y-10%3E2y-3.


y-10%3E2y-3 Start with the given inequality.


%283%29-10%3E2%2A%283%29-3 Plug in y=3.


-7%3E2%2A%283%29-3 Evaluate and simplify the left side.


-7%3E3 Evaluate and simplify the right side.


Since the inequality is not true, this means that y=3 is not a solution.

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Let's see if y=-14 is a solution for the inequality y-10%3E2y-3.


y-10%3E2y-3 Start with the given inequality.


%28-14%29-10%3E2%2A%28-14%29-3 Plug in y=-14.


-24%3E2%2A%28-14%29-3 Evaluate and simplify the left side.


-24%3E-31 Evaluate and simplify the right side.


Since the inequality is true, 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%3E2y-3.


y-10%3E2y-3 Start with the given inequality.


%28-13%29-10%3E2%2A%28-13%29-3 Plug in y=-13.


-23%3E2%2A%28-13%29-3 Evaluate and simplify the left side.


-23%3E-29 Evaluate and simplify the right side.


Since the inequality is true, 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%3E2y-3.


y-10%3E2y-3 Start with the given inequality.


%28-3%29-10%3E2%2A%28-3%29-3 Plug in y=-3.


-13%3E2%2A%28-3%29-3 Evaluate and simplify the left side.


-13%3E-9 Evaluate and simplify the right side.


Since the inequality is not true, this means that y=-3 is not a solution.



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

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