Задача Задача №3593286
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Interpret as 2 < 4 − (3/4)x < 7.
Solve as two separate inequalities and take the intersection:
- 2 < 4 − (3/4)x
- Subtract 4: -2 < -(3/4)x
- Multiply by -1 (flip): 2 > (3/4)x
- Divide by 3/4: x < 8/3
- 4 − (3/4)x < 7
- Subtract 4: -(3/4)x < 3
- Multiply by -1 (flip): (3/4)x > -3
- Divide by 3/4: x > -4
Combine: -4 < x < 8/3
Final answer: x ∈ (-4, 8/3)
If you meant 3/(4x) instead of (3/4)x, tell me and I’ll solve that version too.