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Sagot :
Answer:
2, 3, 4, 5, 6
Step-by-step explanation:
Let's break this inequality into two parts:
- 3 < 3x - 1 ← Inequality I
- 3x - 1 < 2x + 6 ← Inequality II
Solve Inequality I.
- 3 < 3x - 1
Add 1 to both sides.
- 4 < 3x
Divide both sides by 3.
- 4/3 < x
Solve Inequality II.
- 3x - 1 < 2x + 6
Subtract 2x from both sides.
- x - 1 < 6
Add 1 to both sides.
- x < 7
Combine these two inequality solutions.
- 4/3 < x < 7
Integer solutions to this inequality would be any integer between 1 (4/3 = 1.3...) and 7, exclusive.
These five numbers are 2, 3, 4, 5, 6.
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