If set D is defined by the constraints z ≥ 2 and z ≤ 8, which of the following i

Practice Questions

Q1
If set D is defined by the constraints z ≥ 2 and z ≤ 8, which of the following is the range of values for set D?
  1. 2 to 8
  2. 1 to 9
  3. 0 to 10
  4. 2 to 9

Questions & Step-by-Step Solutions

If set D is defined by the constraints z ≥ 2 and z ≤ 8, which of the following is the range of values for set D?
  • Step 1: Look at the first constraint, which is z ≥ 2. This means that z can be any value that is 2 or greater.
  • Step 2: Look at the second constraint, which is z ≤ 8. This means that z can be any value that is 8 or less.
  • Step 3: Combine both constraints. Since z must be greater than or equal to 2 and less than or equal to 8, we find the range of values for z.
  • Step 4: The smallest value z can take is 2, and the largest value z can take is 8.
  • Step 5: Therefore, the range of values for set D is from 2 to 8, including both endpoints.
  • Inequalities – Understanding how to interpret and solve inequalities to determine a range of values.
  • Set Notation – Recognizing how to express a set defined by constraints using interval notation.
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