Answer:
2x + 7 < 27
2x< 20
x < 10
-2x - 7 < 27
-2x < 34
x > -17
-17 < x < 10
Answer:
[tex]-17<x<10[/tex]
X lies between -17 and 10
(-17,10)
Step-by-step explanation:
[tex]|2x+7|<27[/tex]
Solve the above inequality for x
To solve absolute inequality we take positive and negative
[tex]If |u|<a, a>0 then -a<u<a[/tex]
[tex]|2x+7|<27[/tex]
[tex]-27<2x+7<27[/tex]
Now make x alone in the middle of the inequality
Subtract 7 on all the sides
[tex]-34<2x<20[/tex]
Now divide all the sides by 2
[tex]-17<x<10[/tex]
X lies between -17 and 10
(-17,10)
