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

₹0.0

Question: 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?

Options:

Correct Answer: 2 to 8

Solution:

The range of values for set D is from 2 to 8, inclusive.

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?

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.