Answer:
The inequality can be separated into two parts.
Step-by-step explanation:
3x - 2 < 10 + x ----------- eqn(1)
10 + x < 2 + 5x ------------ eqn(2)
From eqn(1), collect like terms:
3x - x < 10 + 2
2x < 12
divide both sides by 2
x < 6 ----------- eqn(3)
Similarly, from eqn(2), collect like terms,
10 - 2 < 5x - x
8 < 4x
dicide both sides by 4
2 < x ------------- eqn(4)
combining eqn(3) and eqn(4),
2 < x < 6
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Answers & Comments
Answer:
The inequality can be separated into two parts.
Step-by-step explanation:
3x - 2 < 10 + x ----------- eqn(1)
10 + x < 2 + 5x ------------ eqn(2)
From eqn(1), collect like terms:
3x - x < 10 + 2
2x < 12
divide both sides by 2
x < 6 ----------- eqn(3)
Similarly, from eqn(2), collect like terms,
10 - 2 < 5x - x
8 < 4x
dicide both sides by 4
2 < x ------------- eqn(4)
combining eqn(3) and eqn(4),
2 < x < 6