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In a constraint-based set, if the constraints are x < 0 and x > -5, which

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Question: In a constraint-based set, if the constraints are x < 0 and x > -5, which of the following values is valid?

Options:

  1. -3
  2. 0
  3. -5
  4. -6

Correct Answer: -3

Solution: 

The value -3 satisfies both constraints, making it a valid member of the set.

In a constraint-based set, if the constraints are x < 0 and x > -5, which

Practice Questions

Q1
In a constraint-based set, if the constraints are x < 0 and x > -5, which of the following values is valid?
  1. -3
  2. 0
  3. -5
  4. -6

Questions & Step-by-Step Solutions

In a constraint-based set, if the constraints are x < 0 and x > -5, which of the following values is valid?
  • Step 1: Understand the constraints given: x < 0 means x must be less than 0, and x > -5 means x must be greater than -5.
  • Step 2: Identify the range of valid values for x based on the constraints. The valid range is -5 < x < 0.
  • Step 3: Check the value -3 to see if it fits within the valid range. -3 is greater than -5 and less than 0.
  • Step 4: Since -3 satisfies both constraints, it is a valid member of the set.
  • Inequalities – Understanding and solving inequalities to find valid ranges for variable values.
  • Constraint Satisfaction – Identifying values that meet multiple constraints simultaneously.
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