document.write( "Question 1018478: How would I solve (3x+2/x+1) > 4 ? Thank you for your help \n" ); document.write( "

Algebra.Com's Answer #634582 by MathTherapy(10553) $\"\"$ $\"About$

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\n" ); document.write( "How would I solve (3x+2/x+1) > 4 ? Thank you for your help
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, with  
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document.write( "3x + 2 > 4(x + 1) ------- Multiplying by LCD, x + 1
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document.write( "3x + 2 > 4x + 4
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document.write( "3x - 4x > 4 - 2
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document.write( "- x > 2
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document.write( " ------> \r
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document.write( "We now have 2 critical points: - 2 and - 1, and 3 INTERVALS to check:
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document.write( "1)   x < - 2, or x = - 3 (- 3 was chosen since - 3 < - 2)
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document.write( "2)   - 2 < x < - 1, or x = - 1.5 (this is a value between - 2 and - 1)
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document.write( "3)   x > - 1, or x = 0 (0 was chosen since 0 > - 1)\r
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document.write( "1)   x < - 2, or x = - 3
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document.write( "      ----- Substituting - 3 in original inequality
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document.write( "      ------- False, so x < - 2 is NOT a solution, as this interval DOES NOT satisfy the inequality\r
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document.write( "2)   - 2 < x < - 1, or x = - 1.5
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document.write( "      ----- Substituting - 1.5 in original inequality
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document.write( "     
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document.write( "      ------- TRUE, so  IS a solution, as this interval DOES satisfy the inequality
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document.write( "3)   x > - 1, or x = 0
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document.write( "      ----- Substituting 0 in original inequality
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document.write( "     
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document.write( "      ------- False, so x > - 1 is NOT a solution, as this interval DOES NOT satisfy the inequality \n" );
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