Question

(working with absolute value) solve.
5Ix+4I <= 10

Answer 1

if |a| <= b
then
a<= b or a >=-b

so what about 5|x+4| <=10 ??

Answer 2

So you want to get rid of everything that is not in the absolute value sign

5|x + 4| <= 10

Divide both sides of the equation by 5..this will get rid of the 5 of the left hand side

|x + 4| <= 2

Now you can set up your 2 equations *since this is absolute value*

\[x + 4 \le 2\]

And

\[x + 4 \ge -2\]

and solve both equations...

Answer 3

why did you switch the signs on the second equation

Answer 4

lets say for example |x|<= 4
so, x can take values form -4 to +4 (you'll get this if you know what is the effect of absolute sign)

so, its like saying -4<= x <= 4
which breaks to x<=4 or x>= -4

(or in other words, you can say that since we multiply by negative, the -4 (2 became -2), we need to switch the sign)

Answer 5

ahhh, that makes sense!!!

Answer 6

Good explanation @hartnn !!

Answer 7

so it would be -2 and -6

Answer 8

yup

Answer 9

-6<= x <= -2

Answer 10

yeah

Answer 11

There we go...I was looking for that lol...yes that is correct!

Answer 12

thanks

Answer 13

welcome ^_^