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larisa86 [58]
3 years ago
11

Solve (2 - x)^2 < 4/25

Mathematics
2 answers:
uysha [10]3 years ago
6 0

Answer:

x>8/5

Step-by-step explanation:

  1. (2-x)^2<4/25

take the square root of both sides

Semenov [28]3 years ago
5 0

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2)  <±sqrt( 4/25)

Make two equations

2-x < 2/5    2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2          2-x-2  > -2/5-2

-x < 2/5 -  10/5             -x > -2/5  - 10/5

-x < -8/5                         -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5                   x < 12/5

8/5 < x< 12/5

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