document.write( "Question 472471: solve the inequality, graph the solutin set, express the solution set in interval notation\r
\n" ); document.write( "\n" ); document.write( "x^2 ≥ -x +20\r
\n" ); document.write( "\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( "3x+5
\n" ); document.write( "____ ≥ 0
\n" ); document.write( "6-2x
\n" ); document.write( "

Algebra.Com's Answer #323945 by lwsshak3(11628)\"\" \"About 
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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( "
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