florstacyy
florstacyy
12-07-2017
Mathematics
contestada
What is the solution set for 4<2x+10<18
Respuesta :
JonHenderson55
JonHenderson55
15-07-2017
The answer is:
___________________________________
"
3 < x < 4
" ;
or; write as:
"
4 > x > 3
" .
___________________________________
Explanation:
_________________________
Given:
_______________________
" 4 < 2x + 10 < 18 " ,
________________________
Divide the entire inequality by "2" to simplify:
_____________________________
{4 < 2x+10 < 18 } / 2 ;
_____________________________
2 < x+5 <9
_______________________________
First, we have:
2<x+5 ;
Subtract "2" form each side:
(2-2) < (x + 5 - 2) ;
0 < x - 3 ;
Add "3" to each side:
0 + 3 < x - 3 + 3 ;
3
< x
________________
Then we have;
_______________
x + 5 < 9 ;
Subtract "5" from each side;
x + 5 - 5 < 9 - 5 ;
x < 4
__________
So, we have:
3
< x and x < 4
________________
We can combine these; and write as:
___________________________________
"
3 < x < 4
" ;
or: write as:
"
4 > x > 3
" .
___________________________________
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