Question

|-2x + 10| > 28

Answer 1

\[
-2 x + 10 > 28 \\\text { or }\\
-2 x + 10 <-28
\]
Do you understand the above?

Answer 2

\[ -2 x > 18 \\
x < -9 \\\text { or }\\
-2 x < -38\\
x> 19

\]

Answer 3

The answer is
x < -9 or x > 19

Answer 4

just a suggestion. if you want to avoid the annoying negative coefficient, convince yourself that \(|a-b|=|b-a|\) and start with \(|2x-10|>28\)
makes no difference, but then you can solve without switching inequalities

Answer 5

@eliassaab i think it is x<-9 or x>9

Answer 6

@saumya No, if you take x =10
\[
|-2 x+ 10|= |-20 +10|=10 < 28
\]

Answer 7

ok . got it .. sorry for wrong answer