Explanation

Using De Morgan's Law:

$$<b><font\; color="\#0000ff">(</font></b>\mathrm{<b><font\; color="\#0000ff">A</font></b>}<b><font\; color="\#0000ff">\cup </font></b>\mathrm{<b><font\; color="\#0000ff">B</font></b>}{<b><font\; color="\#0000ff">)</font></b>}^{\mathrm{<b><font\; color="\#0000ff">\prime </font></b>}}<b><font\; color="\#0000ff">=</font></b>{\mathrm{<b><font\; color="\#ff0000">A</font></b>}}^{\mathrm{<b><font\; color="\#ff0000">\prime </font></b>}}<b><font\; color="\#ff0000">\cap </font></b>{\mathrm{<b><font\; color="\#ff0000">B</font></b>}}^{\mathrm{\prime }}$$

Explanation

To find the square root of 0.0676:

√0.0676 ≈ 0.26

Explanation

Set Difference (B A) means the elements in B that are not in A.

Given:

A = {2, 4, 5, 7}

B = {3, 4, 7}

Elements of B are {3, 4, 7}.

4 and 7 are also in A, so they are removed.

3 is not in A, so it remains.

Therefore, B A = {3}

Explanation

1 gram (g) is defined as 1/1000th of a kilogram (kg), i.e., 1 g = 0.001 kg.

This follows the metric system, where 1 kg = 1000 g.

Explanation

To solve |2x| = -4:

Since the absolute value is always non-negative, there is no solution for:

|2x| = -4

The absolute value of any number cannot be negative.

The correct answer is:

{} (empty set, indicating no solution)