SOLUTION: Solve the inequality and show your work. |t - (2 - t)| > 10 A. t > -4 and t < 6 B. t < 4 or t > -6 C. t > 6 or t

SOLUTION: Solve the inequality and show your work. |t - (2 - t)| > 10 A. t > -4 and t < 6 B. t < 4 or t > -6 C. t > 6 or t < -4 D. None of the above.

Question 677553: Solve the inequality and show your work.
|t - (2 - t)| > 10
A. t > -4 and t < 6
B. t < 4 or t > -6
C. t > 6 or t < -4
D. None of the above.
Found 2 solutions by edjones, lwsshak3:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
|t - (2 - t)| > 10
.
t-2+t>10
2t-2>10
2t>12
t>6
.
t-2+t<-10
2t-2<-10
2t<-8
t<-4
.
Ed
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the inequality and show your work.
|t - (2 - t)| > 10
solve for 2 conditions
..
t - (2 - t) > 10
t-2+t>10
2t>12
t>6
..
-(t - (2 - t)) > 10
(t - (2 - t) < -10
t-2+t<-10
2t<-8
t<-4
..
number line
<===-4).........(6===>
solution: (-∞,-4) U (6,∞) (answer C)

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