So, I'll solve the first inequality first.
-x<2x+3
-x+x<2x+x+3
0<3x+3
0-3<3x+3-3
-3<3x
3x>-3
x>-1
Next, the second inequality,
2x+3<-8x+3
2x+8x+3<-8x+8x+3
10x+3<3
10x+3-3<3-3
10x<0
10x/10<0/10
x<0
Now, notice the blue inequalities,
we should get their intersection.
Quick crash course:
Given two sets a
Go back to the blue inequalities.
x>-1
x<0
Take note that I can write x>-1 into -1
So, the intersection of -1
is
-1< x <0
And that's the answer.
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