Question

Can someone please help me with these??
3|x+5|<21
2|x-5|<32

Answer choices are
-1121 x<-12 or x>2 -12 12 years ago

Answer 1

\[3|x+5|<21\] step one: divide by 3
what do you get?

Answer 2

\[3\left[ x+5 \right]<21,\left| x+5 \right|<\frac{ 21 }{ 3 },\left| x+5 \right|<7\]

Answer 3

\[\left| x \right|<a,means -a<x<a\]

Answer 4

I still don't get it
Can u please do an example?

Answer 5

\[\left| x-2 \right|<6,-6<x-2<6\]

Answer 6

you followed.

Answer 7

I'm lost sorry!

Answer 8

\[|x-2|<3\iff -3<x-2<3\] and \(2\) all the way across and get
\[-1<x<5\]

Answer 9

\[\left| x \right|<6,-6<x<6\]
\[\left| x-2 \right|<6 ,-6<x-2<6, add 2 \to each inequality,-6+2<x-2+2<6+2\]
-4<x<8

Answer 10

i have given two examples.

Answer 11

Ok thnx

Answer 12

yw