SOLUTION: [2x+3]> 17 with > being greater than or equal to. Please help me I have midterm exam coming up!

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Question 544114: [2x+3]> 17

with > being greater than or equal to. Please help me I have midterm exam coming up!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
[2x+3]≥ 17
solve for two conditions:
for (2x+3)>0
2x+3≥ 17
2x≥14
x≥7
..
for (2x+3)<0
-2x-3≥ 17
-2x≥20
divide by -2 and reverse inequality sign
x≤-10
..
number line:
<===-10].......[7===>
solution:
(-∞,-10] U [7,∞)