Question

Solve the following inequality and graph the solution set
|-4x+9|>14

Answer 1

-4x+9 > -14 and -4x +9 > 14
-4x> -23 -4x > 5
x < 23/4 x< -5/4

Answer 2

not to be picky, but it should be OR rather than AND

Answer 3

actually lets start again

Answer 4

\[|-4x+9|>14\]
\[-4x+9<-14\text{ or } -4x+9>14\] and now we solve these separately

Answer 5

Aye! I know...I didn't put stress on "and" and "or".
But joanne...Satellite is right. It should be or.

Answer 6

\[-4x+9 <-14\]
\[-4x<-23\]
\[x>\frac{23}{4}\] or
\[-4x+9> 14\]
\[-4x>5\]
\[x<-\frac{4}{5}\]

Answer 7

typo on the last one should be
\[x<-\frac{5}{4}\]

Answer 8

so your solution is
\[(-\infty, -\frac{5}{4})\cup (\frac{23}{4},\infty)\]

Answer 9

What would that reduce to cause nothing will go into 23

Answer 10

5 and 3 what