document.write( "Question 697064: what is the solution of the inequality -6x - 17 egual or greater then 8x + 25? \n" ); document.write( "

Algebra.Com's Answer #429627 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+-6x+-+17+%3E=+8x+%2B+25+\"$
\n" ); document.write( "Add $\"+17+\"$ to both sides
\n" ); document.write( " $\"+-6x+%3E=+8x+%2B+42+\"$
\n" ); document.write( "Subtract $\"+8x+\"$ from both sides
\n" ); document.write( " $\"+-14x+%3E=+42+\"$
\n" ); document.write( "Multiply both sides by $\"+-1+\"$ . When you
\n" ); document.write( "do this, you have to reverse the inequality sign.
\n" ); document.write( "--------------
\n" ); document.write( "I always have to reason this out. Suppose you have
\n" ); document.write( " $\"+-5+%3E+-10+\"$ obviously true
\n" ); document.write( "Now multiply both sides by $\"+-1+\"$
\n" ); document.write( " $\"+5+%3E+10+\"$ obviously not true, so
\n" ); document.write( " $\"+5+%3C+10+\"$
\n" ); document.write( "-----------
\n" ); document.write( " $\"+14x+%3C=+-42+\"$
\n" ); document.write( "Divide both sides by $\"+14+\"$
\n" ); document.write( " $\"+x+%3C=+-3+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check answer
\n" ); document.write( "Suppose $\"+x+=+-3.001+\"$
\n" ); document.write( " $\"+-6x+-+17+%3E=+8x+%2B+25+\"$
\n" ); document.write( " $\"+-6%2A%28+-3.001+%29+-+17+%3E=+8%2A%28+-3.001+%29+%2B+25+\"$
\n" ); document.write( " $\"+18.006+-+17+%3E=+-24.008+%2B+25+\"$
\n" ); document.write( " $\"+1.006+%3E=+.992+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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