SOLUTION: Hello, Can some help me solve this inequality problem (not needed for a graph just trying to solve)? Thanks in advance. 12x<16x+22

Algebra ->  Graphs -> SOLUTION: Hello, Can some help me solve this inequality problem (not needed for a graph just trying to solve)? Thanks in advance. 12x<16x+22      Log On


   



Question 441290: Hello,
Can some help me solve this inequality problem (not needed for a graph just trying to solve)? Thanks in advance.
12x<16x+22

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+12x+%3C+16x+%2B+22+
Subtract +16x+ from both sides
+-4x+%3C+22+
Divide both sides by -4. When you do this,
you must reverse the > sign.
+x+%3E+-11%2F2+
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My way of checking is this:
+-11%2F2+ is between +-5+ and +-6+
The inequality should be true for x+=+-5
but not for x+=+-6.
---------------
+x+=+-6+
+12%2A%28-6%29+%3C+16%2A%28-6%29+%2B+22+
+-72+%3C+-96+%2B+22+
+-72+%3C+-74+ not true
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+x+=+-5+
+12%2A%28-5%29+%3C+16%2A%28-5%29+%2B+22+
+-60+%3C+-80+%2B+22+
+-60+%3C+-58+ true