document.write( "Question 274067: How do I write an inequality in the variable x for the degree measure of the smallest of the triangle given that the degree measure of the smallest angle is at most 30 degress. \r
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document.write( "danieljeffus@yahoo.com
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Algebra.Com's Answer #200073 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if I understand your question correctly, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x <= 30 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(180 - x) >= 150 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "either one expresses the fact that the angle can't be greater than 30 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to be more specific, however, you might need to say that the angle has to be greater than or equal to 0 degrees as well, since the angle could also be negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this is implied by the nature of the problem (you are only dealing with positive angles), then you don't have to worry about that.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you do have to worry about it, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 <= x <= 30 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 >= (180-x) >= 150 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that last statement forces x to be >= 0.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |