Answer:
These have no solution:
- 2x < x+1 and x+1 > 3
- 3x -5 > 1 and x < 2
Explanation:
1. 2x < x+1
x < 1 . . . . . subtract x
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x + 1 > 3
x > 2 . . . . subtract x
No solution: x cannot be both > 2 and < 1.
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2. 3(x +2) > x
3x + 6 > x . . . . eliminate parentheses
2x + 6 > 0 . . . subtract x
x + 3 > 0 . . . . . divide by 2
x > 0
Solution: 0 < x < 2
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3. 5x ≥ 10
x ≥ 2 . . . . . divide by 5
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2x ≤ 4
x ≤ 2 . . . . . divide by 2
Solution: 2 ≤ x ≤ 2 . . . . x = 2
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4. 3x -5 > 1
3x > 6 . . . . . . . add 5
x > 2 . . . . . . . . divide by 3
No solution: x cannot be both < 2 and > 2.