can someone tell me how to get this awnser?

Question

Ix-3I>4
Ix-3I<4
and then the same but less than and equal to and great than and equal to? when do you flip the signs? is it when there is a negative from the absolute value side going to the other or vis versa

Answer 1

You're fighting with the absolute value, Look at the first one. If x is going to be a positive number, then for x-3 to be greater than 4, x has to be greater than 7. If |x-3| < 4
then x can be anything less than 7 but it also has to be greater than -1 (since |-1-3| = |-4|).

See how it works? It's like anything else, you just have to practice. You'll never get good at shooting hoops no matter *how* long you set at mid-court and watch Shack throw down. You gotta throw some yourself ☺


Doug

Answer 2

Absolute value only takes the distance from zero. In other words, for real numbers, you just take the number as it is UNLESS it's negative, in which case you remove the negative sign and make it positive.

Answer 3

to what i know.. when there is absolute, you ALWAYS flip negative to positive. answer ALWAYS positive. yup.
if x is -4.... then these 2 are correct
-4-3 is -7. absolute it is 7.
so 7 greater than 4.
something like that :)