SOLUTION: what is the solution of the inequality -6x - 17 egual or greater then 8x + 25?

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Question 697064: what is the solution of the inequality -6x - 17 egual or greater then 8x + 25?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-6x+-+17+%3E=+8x+%2B+25+
Add +17+ to both sides
+-6x+%3E=+8x+%2B+42+
Subtract +8x+ from both sides
+-14x+%3E=+42+
Multiply both sides by +-1+. When you
do this, you have to reverse the inequality sign.
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I always have to reason this out. Suppose you have
+-5+%3E+-10+ obviously true
Now multiply both sides by +-1+
+5+%3E+10+ obviously not true, so
+5+%3C+10+
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+14x+%3C=+-42+
Divide both sides by +14+
+x+%3C=+-3+
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check answer
Suppose +x+=+-3.001+
+-6x+-+17+%3E=+8x+%2B+25+
+-6%2A%28+-3.001+%29+-+17+%3E=+8%2A%28+-3.001+%29+%2B+25+
+18.006+-+17+%3E=+-24.008+%2B+25+
+1.006+%3E=+.992+
OK