SOLUTION: Solve the compound inequality and write the solution using interval notation. 2 < (x – 1)/2 < 5 and -1 < (3-x)/2 < 2
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-> SOLUTION: Solve the compound inequality and write the solution using interval notation. 2 < (x – 1)/2 < 5 and -1 < (3-x)/2 < 2
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Algebra: Inequalities, trichotomy
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Question 48358
:
Solve the compound inequality and write the solution using interval notation.
2 < (x – 1)/2 < 5 and -1 < (3-x)/2 < 2
Answer by
Nate(3500)
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2 < (x - 1)/2 < 5
4 < x - 1 < 10
5 < x < 11
(5,10)
and
-1 < (3 - x)/2 < 2
-2 < 3 - x < 4
-5 < -x < 1
5 > x > -1
(-1,5)