document.write( "Question 1006088: If a and b are real numbers such that a < b, then (x-a)(x-b) is positive over the interval: \r
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document.write( "A) (a, b)
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document.write( "B) (-∞, b)
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document.write( "C) (-∞, a)U(b, ∞)
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document.write( "D) (-∞, 0)U(b, ∞)
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document.write( "E) (-∞, a]U[b,∞) \n" );
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Algebra.Com's Answer #622234 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Making a number line will make this easier to analyze. The critical values of x are a and b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Look at each interval that the critical values make.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(-infinity,a) \n" ); document.write( "(-)(-) positive. \n" ); document.write( "TRUE\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a,b) \n" ); document.write( "(+)(-) negative. \n" ); document.write( "FALSE\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b,infinity) \n" ); document.write( "(+)(+) positive. \n" ); document.write( "TRUE\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Choices C and E are exactly the same set and that is the solution set. \n" ); document.write( " |