document.write( "Question 71520This question is from textbook pre-algebra california edition
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document.write( ": 6y-10-y>14 \n" );
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Algebra.Com's Answer #51152 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! 6y-10-y>14 \n" ); document.write( ". \n" ); document.write( "You can treat this somewhat like an equation. What you want to do is get all the terms \n" ); document.write( "containing y on the left side and all the numbers on the right side. Let's do it. \n" ); document.write( ". \n" ); document.write( "Get rid of the -10 on the left side by adding +10 to it. But if you add +10 to one side \n" ); document.write( "you also have to add +10 to the other side. \n" ); document.write( ". \n" ); document.write( "When you do this the inequality becomes: \n" ); document.write( ". \n" ); document.write( "6y - 10 + 10 - y > 14 + 10 \n" ); document.write( ". \n" ); document.write( "On the left side the +10 adds to the -10 to cancel out each other. And on the right side \n" ); document.write( "the +10 adds to +14 to become +24. After these changes the inequality becomes: \n" ); document.write( ". \n" ); document.write( "6y -y > 24 \n" ); document.write( ". \n" ); document.write( "On the left side you can combine the two y terms. Subtracting y from 6y results in an \n" ); document.write( "answer of 5y and the inequality becomes: \n" ); document.write( ". \n" ); document.write( "5y > 24 \n" ); document.write( ". \n" ); document.write( "Finally, you divide both sides by 5 so that only y is on the left side. The inequality \n" ); document.write( "then becomes: \n" ); document.write( ". \n" ); document.write( "y > 24/5 \n" ); document.write( ". \n" ); document.write( "And in decimals 24/5 = 4.8 which makes the inequality: \n" ); document.write( ". \n" ); document.write( "y > 4.8 \n" ); document.write( ". \n" ); document.write( "This says that y is greater than 4.8 or 24/5, whichever you prefer. \n" ); document.write( ". \n" ); document.write( "Don't forget when you multiply or divide both sides of an inequality by a negative \n" ); document.write( "number, you have to change the inequality sign so that it points in the opposite direction. \n" ); document.write( "This does not apply to this particular problem, but you might run into a problem that you \n" ); document.write( "will have to remember this. \n" ); document.write( ". \n" ); document.write( "I hope this gives you a little insight into working inequality problems. \n" ); document.write( " |