Solution:
|x - 2| < 10 - 3x
Transpose:
x + 3x < 10 + 2
4x < 12
Divide both sides by 4:
(4/4)x < (12/4)
x < 3 (the value of x should be less than 3)
Check:
Since the value of x should be less than 3, therefore,
x = {2, 1, 0, -1, -2, ...}
let x = 2
|2 - 2| < 10 - 3(2)
|0| < 10 - 6
0 < 4 (correct)
let x = 1
|1 - 2| < 10 - 3(1)
|-1| < 7
1 < 7 (correct)
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Answers & Comments
Solution:
|x - 2| < 10 - 3x
Transpose:
x + 3x < 10 + 2
4x < 12
Divide both sides by 4:
(4/4)x < (12/4)
x < 3 (the value of x should be less than 3)
Check:
Since the value of x should be less than 3, therefore,
x = {2, 1, 0, -1, -2, ...}
|x - 2| < 10 - 3x
let x = 2
|2 - 2| < 10 - 3(2)
|0| < 10 - 6
0 < 4 (correct)
let x = 1
|1 - 2| < 10 - 3(1)
|-1| < 7
1 < 7 (correct)