Questions: D=-3, √2, 0, 2/7, 2.9, 21/3, 0.1̅, π. Which elements of D are non-negative? (Select all that apply.)

Transcript text: $D=\left\{-3, \sqrt{2}, 0, \frac{2}{7}, 2.9, \frac{21}{3}, 0 . \overline{1}, \pi\right\}$. Which elements of $D$ are non-negative? (Select all that apply.)

Solution

Solution Steps

To determine which elements of the set $ D $ are non-negative, we need to check each element and see if it is greater than or equal to zero.

Step 1: Define the Set $ D $

The set $ D $ is given as: \[ D = \left\{-3, \sqrt{2}, 0, \frac{2}{7}, 2.9, \frac{21}{3}, 0.\overline{1}, \pi\right\} \]

Step 2: Identify Non-Negative Elements

We need to identify which elements in $ D $ are non-negative (i.e., $ \geq 0 $).

Step 3: List Non-Negative Elements

From the set $ D $, the non-negative elements are: \[ \sqrt{2}, 0, \frac{2}{7}, 2.9, \frac{21}{3}, 0.\overline{1}, \pi \]

Final Answer

The elements of $ D $ that are non-negative are: \[ \boxed{\sqrt{2}, 0, \frac{2}{7}, 2.9, 7, 0.\overline{1}, \pi} \]

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