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Solve and graph the solution set.
3x - 1>x+5
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Your starting inequality is
3x - 1 > x + 5
Add 1 to both sides. You will get
3x > x + 6.
Subtract x from both sides. You will get
2x > 6.
Divide both sides by 2
x > 3.
It is the ANSWER : the solution set is { x > 3 }, or (3,oo).
The plot is shown below
-----------------|-----|-----|-----(=====|=====|=====|===============
-oo 0 1 2 3 4 5 6 oo
In the plot, the solution set is presented by bold line.
Solved.