# algebra - absolute value

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i'm doing absolute value in open sentences and then graphing them. how would you solve |t-4| > t-4 ?

• algebra - absolute value -

it could be a no solution answer??

• algebra - absolute value -

+(t-4) > t-4
0>0 , no solution

or

-(t-4) > t-4
-t+4 >t-4
-2t > -8
t < 4

check with some numbers
t = 1 , which is less than 4
|1-4| > 1-4
3 > -3 , YUP
t = -50 , which is less than 4
|-50-4| > -50 - 4
54 > -54 , YUP

let t = 6 , which is greater than 4
|6-4| > 6-4
2 > 2 , no, as it should be

looks like t > 4 is my solution

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