document.write( "Question 740097: Four times the sum of a number and 6 is at least 6 times the same number less 14.for what numbers is this true?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #451519 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
EXPLANATION OF THE INEQUALITY SET-UP:
\n" ); document.write( "(Understand the explanation, but do not include in your homework, unless you are sure the teacher wants to see all of it)
\n" ); document.write( " $\"x\"$ = the number
\n" ); document.write( " $\"x%2B6\"$ = the sum of the number and 6
\n" ); document.write( " $\"4%2A%28x%2B6%29\"$ = four times the sum of the number and 6
\n" ); document.write( "
\n" ); document.write( " $\"6x\"$ = 6 times the number
\n" ); document.write( " $\"6x-14\"$ = 6 times the number less 14
\n" ); document.write( "
\n" ); document.write( " $\"4%2A%28x%2B6%29\"$ is at least $\"6x-14\"$ means that
\n" ); document.write( " $\"4%2A%28x%2B6%29\"$ is equal to or greater than $\"6x-14\"$
\n" ); document.write( "We write that as
\n" ); document.write( " $\"4%2A%28x%2B6%29%3E=6x-14\"$
\n" ); document.write( "
\n" ); document.write( "THE SOLUTION:
\n" ); document.write( " $\"4%2A%28x%2B6%29%3E=6x-14\"$
\n" ); document.write( " $\"4x%2B24%3E=6x-14\"$ (after applying the distributive property on the left side)
\n" ); document.write( " $\"24%3E=6x-4x-14\"$ (after subtracting 4x from both sides)
\n" ); document.write( " $\"24%2B14%3E=6x-4x\"$ (after adding 14 to both sides)
\n" ); document.write( " $\"38%3E=2x\"$ (after performing indicated)
\n" ); document.write( "Then dividing both sides by 2, you get:
\n" ); document.write( " $\"19%3E=x\"$ or $\"highlight%28x%3C=19%29\"$
\n" ); document.write( "(You may want to show less steps and explanations in the solution, according to what the teacher expects from you) \n" ); document.write( "

\n" );