document.write( "Question 683354: Find the integer solutions to : | 2y - 5 | ≥ 9\r
\n" ); document.write( "\n" ); document.write( "A. {... -4, -3, -2} or {7, 8, 9 ...}
\n" ); document.write( "B. {... -5, -4, -3} or {8, 9, 10 ...}
\n" ); document.write( "C. {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7}
\n" ); document.write( "D. {-1, 0, 1, 2, 3, 4, 5, 6}
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Algebra.Com's Answer #423529 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
Absolute value means the thing itself or the opposite (-1 times it). Rewrite the equation as two equations.


\n" ); document.write( "The thing itself: 2y-5 >=9 ---> 2y >= 14 ---> y >= 7. The problem is multiple choice. Eliminate all the answers that don't include that y >= 7. B is out because it doesn't include 7. C is out because it doesn't include values larger than 7. D is out because it doesn't include 7 or values larger than 7. The only answer remaining is A.


\n" ); document.write( "Let's check the opposite for practice - that would help if this weren't multiple choice.


\n" ); document.write( "-(2y-5)>= 9 ---> (divide both sides by -1. With inequalities, if dividing both sides by -1 you flip the inequality sign.) 2y-5 <= -9 ---> 2y <= -4 ---> y <= -2. Answer A, in fact, does include all values less than or equal to -2.
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.) \n" ); document.write( "

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