Question

NEED HELP ASAP PLEASE

Answer 1

Answer:

These have no solution:

• 2x < x+1 and x+1 > 3
• 3x -5 > 1 and x < 2

Step-by-step 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.