# Thread: inequality expressed in absolute value notation

1. ## inequality expressed in absolute value notation

some plz help me wit this problem

x is greater then or equal to 12

x is less then or equal to 2

-5 is less then p and p is less then 2 so, (-5,2)

these inequalities have to be expresses in absolute value notation..i dont have a clue how to start...
thanks

2. x is greater then or equal to 12
x is less then or equal to 2

midpoint between 12 and 2 is 7 ... distance from 7 to either 2 or 12 is 5

$|x - 7| \geq 5$

-5 is less then p and p is less then 2

midpoint between -5 and 2 is -1.5 ... distance from -1.5 to either -5 or 2 is 3.5

$|x - (-1.5)| < 3.5$

3. ## confused on the signs

ok soo working through those problems I get the same answers but im confused on how to determine the sign of the answer. How do i know if the answer is going to be greater then or equal to, less then or equal to, or less then, or greater then?

thanks again

4. Originally Posted by PMoNEY23
ok soo working through those problems I get the same answers but im confused on how to determine the sign of the answer. How do i know if the answer is going to be greater then or equal to, less then or equal to, or less then, or greater then?

thanks again
put your solutions on a number line and test the intervals in your problem