Asked by Mandi
Please help me solve this inequality problem.
|1-(4)/(3)x|<3
|1-(4)/(3)x|<3
Answers
Answered by
helper
if this your problem
| 1 - 4x/3 | < 3
remove absolute value sign
1 - 4x/3 < 3 and
-1 + 4x/3 < 3
1 - 4x/3 < 3
-4x/3 < 2
-4x < 6
x > -6/4
x > -3/2
-1 + 4x/3 < 3
4x/3 < 4
4x < 12
x < 3
so solution is
-3/2 < x < 3
| 1 - 4x/3 | < 3
remove absolute value sign
1 - 4x/3 < 3 and
-1 + 4x/3 < 3
1 - 4x/3 < 3
-4x/3 < 2
-4x < 6
x > -6/4
x > -3/2
-1 + 4x/3 < 3
4x/3 < 4
4x < 12
x < 3
so solution is
-3/2 < x < 3
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