document.write( "Question 135454: Solve $\"x%5E2%2B3x-10%3E=0\"$ \n" ); document.write( "

Algebra.Com's Answer #99257 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!

Start with the given inequality\r
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Factor the left side\r
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Set the left side equal to zero\r
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Solve for x in each case\r
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\r
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\n" ); document.write( "\n" ); document.write( "Now plot the critical values on a number line\r
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\n" ); document.write( "\n" ); document.write( " $\"number_line%28+600%2C+-10%2C+10%2C+-5%2C2+%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "So let's evaluate a point that is to the left of

(which is the left most endpoint). Let's evaluate the value $\"x=-6\"$ \r
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Start with the given inequality\r
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Plug in $\"x=-6\"$ \r
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Evaluate and simplify\r
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is true, this means that one part of the solution in interval notation is (

]\r
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\n" ); document.write( "\n" ); document.write( "Now let's test a point that is in between the critical values

and

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Start with the given inequality\r
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Plug in $\"x=0\"$ \r
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Evaluate and simplify\r
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is false, this means that the interval does not work. So that means that this interval is not in the solution set and can be ignored.\r
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\n" ); document.write( "\n" ); document.write( "So let's evaluate a point that is to the right of

(which is the right most endpoint). Let's evaluate the value $\"x=3\"$ \r
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Start with the given inequality\r
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Plug in $\"x=3\"$ \r
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Evaluate and simplify\r
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is true, this means that one part of the solution in interval notation is [

)\r
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\n" ); document.write( "\n" ); document.write( "So the answer in interval notation is (

]

[

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