<h3>
Option A) </h3>
Assuming that (-2)(-7) and 4 + (-18) are equal.
<u>Using the property [-x × -y = x × y = xy]:</u>
- ⇒ (-2)(-7) = 4 + (-18)
- ⇒ (2)(7) = 4 + (-18)
<u>Using the property [x + (-a) = x - a]:</u>
- ⇒ (2)(7) = 4 + (-18)
- ⇒ (2)(7) = 4 - 18
- ⇒ 14 = -14 (False)
<h3 /><h3>Option B) </h3>
Assuming that (2)(7) and 4 + 18 are equal.
- ⇒ (2)(7) = 4 + 18
- ⇒ 14 = 22 (False)
<h3>Option C) </h3>
Assuming that (–2)(7) and 18 + (–4) are equal.
<u>Using the property [-x × y = -xy]:</u>
- ⇒ (-2)(7) = 18 + (-4)
- ⇒ (-)(2)(7) = 18 + (-4)
- ⇒ -14 = 18 + (-4)
<u>Using the property [x + (-a) = x - a]:</u>
- ⇒ -14 = 18 + (-4)
- ⇒ -14 = 18 - 4
- ⇒ -14 = 14 (False)
<h3>
Option D)</h3>
Assuming that (2)(-7) and 4 - 18 are equal.
<u>Using the property [-x × y = -xy]:</u>
- ⇒ (-)(2)(7) = 4 - 18
- ⇒ -14 = 4 - 18
- ⇒ -14 = -14 (True)
Therefore, Option D is correct.