SOLUTION: I hope this is in the right section im sorry if it isnt. This is for combined inequalities First one : x+3greater than or equal 2x+1 and -4x<-8 Second one : x-2greater than or

Question 352104: I hope this is in the right section im sorry if it isnt.
This is for combined inequalities
First one : x+3greater than or equal 2x+1 and -4x<-8
Second one : x-2greater than or equal 2x+1 or 10>-2x+2
Please show work so i can understand this better
Thanks alot
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
This is for combined inequalities
First one : x+3greater than or equal 2x+1 and -4x<-8
--
Simplify each inequality to get:
x+3 >= 2x+1
x <= 2
AND
x > 2
------------
Since the graph must meet both conditions the solution is the null set.
==================================
Second one : x-2greater than or equal 2x+1 or 10>-2x+2
x-2>=2x+1
Subtract x from both sidews.
Subtract 1 from both sides.
x <=-3
OR
10>-2x+2
Add 2x to both sides.
Subtract 10 from both sides.
2x> -8
x > -4
------------------
Solution: x<=-3 OR x>-4
This is the whole number line.
So solution is (-inf,+inf)
==========================
Cheers,
Stan H.
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