document.write( "Question 472471: solve the inequality, graph the solutin set, express the solution set in interval notation\r
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document.write( "x^2 ≥ -x +20\r
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document.write( "and \r
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document.write( "3x+5
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document.write( "____ ≥ 0
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document.write( "6-2x \n" );
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Algebra.Com's Answer #323945 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! solve the inequality, graph the solutin set, express the solution set in interval notation \n" ); document.write( "x^2 ≥ -x +20 \n" ); document.write( "and \n" ); document.write( "3x+5 \n" ); document.write( "____ ≥ 0 \n" ); document.write( "6-2x \n" ); document.write( "** \n" ); document.write( "x^2 ≥ -x +20 \n" ); document.write( "f(x)=x^2+x-20≥0 \n" ); document.write( "f(x)=(x-5)(x+4)≥0 \n" ); document.write( "zeros: -4 and -5 \n" ); document.write( "number line: \n" ); document.write( "<....+....-4....-....5....+.....> \n" ); document.write( "Explanation: \n" ); document.write( "When x≥5, f(x)>0 \n" ); document.write( "As you go thru the zeros, the sign of the intervals switch if the zeros are of odd multiplicity like 1,3,5, etc. \n" ); document.write( "solution: (-∞,-4] U [5,∞) \n" ); document.write( ".. \n" ); document.write( "f(x)=(3x+5)/(6-2x)≥0 \n" ); document.write( "zeros: -5/3 and 1/3 \n" ); document.write( "number line: \n" ); document.write( "<....+....-5/3....-....1/3....+.....> \n" ); document.write( "When x≥1/3, f(x)>0 \n" ); document.write( "solution: (-∞,-5/3] U [1/3,∞) \n" ); document.write( " |