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