Posted by Jimmy on Thursday, July 8, 2010 at 3:50am.
Simplify both inequalities.
6 > -5x + 5
1 > -5x
5x > -1
x > -0.2
9 < -3x + 4
5 < -3x
3x < -5
x < -5/3
Final answer:
No solution
If x > -0.2, it cannot be also less than -5/3
rewrite as
5x > -1 OR 3x < -5
x > -1/5 OR x < -5/3
On a number line, draw a small open circle around -5/3 with an arrow on a line going to the left, and a small open circle around -1/5 with an arrow going to the right.
In other words, the only numbers that will NOT work are between -5/3 and -1/5 inclusive.
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