Question 625378
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Hi, there--

The Problem:
Select an ordered pair from the choices below that is a solution to the following system of 
inequalities:
{{{10y>-20}}}
{{{9>3x}}}

Solution:
Solve the first inequality for y by dividing both sides by 10.
{{{10y>-20}}}
{{{10y/10>-20/10}}}
{{{y>-2}}}

We see that y is greater then -2.

Solve the second equation for x by dividing both sides by 3.
{{{9>3x}}}
{{{9/3>3x/3}}}
{{{3>x}}}

"Three is greater than x" means the same thing as "x is less than three," so we can rearrange 
this inequality to have x on the left hand side.
{{{x<3}}}

Now we know that x is a number that is less than three. 

You did not list any ordered pairs, but you want one that fits the criteria for x and y. For example, 
(x,y) =(-1,1) is a solution because -1 is less than 3 and 1 is greater than -2.

Please email if you have questions about this. (o:

Ms.Figgy,
math.in.the.vortex@gmail.com
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