Question 140599
Solve and graph. 
3x + 9 >_ -15 or 3x + 1 >_ -8 
3x >=-24  or 3x >= -9
x >=-8    or x >= -3
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Comment: Since you have an "or" between the inequality statements
I assume you want the union of the solution sets.
That would be [-8,+inf)
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You will have to graph the separate solutions and form the union.
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Draw a number line.
Put a dark circle at x = -3 and at x=-8
Draw a ray extending from -8 to the right.
Draw a ray extending from -3 to the right.
The union is a ray extending from -8 to the right.
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Cheers,
Stan H.