document.write( "Question 93709: the product of nine and the quanity 5 more than a number tis less than 6
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Algebra.Com's Answer #68263 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The quantity 5 more than t is (5 + t) \n" ); document.write( ". \n" ); document.write( "the product of 9 and that quantity is 9(5+t) which multiplies out to 45 + 9t. \n" ); document.write( ". \n" ); document.write( "Finally, that result is less than 6. So the equation becomes: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This inequality is solvable for +t. Start by getting rid of 45 on the left side by subtracting \n" ); document.write( "45 from both sides to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "which simplifies to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Then you can solve for t by dividing both sides by +9 to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Note that the numerator and denominator of the right side are both divisible by 3. When you divide \n" ); document.write( "them both by 3 the inequality simplifies to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This means that the original inequality will be true whenever t is less than \n" ); document.write( "which means whenever t on the number line is to the left of the point \n" ); document.write( ". \n" ); document.write( "That's the answer to the original problem. \n" ); document.write( ". \n" ); document.write( "Hope that this helps you to understand problem wording a little better and shows you the way \n" ); document.write( "that the problem can be worked all the way to an answer for t. \n" ); document.write( ". \n" ); document.write( " |