The amount of 2 negative numbers is *always* negative, thus, this is the ideal alternative.

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As for the various other choices:

The product or quotient of 2 negative numbers is always *positive*.

A negative number taken to the power of a positive integer can be either negative or positive relying on whether the exponent is even or odd.

, which is positive, and , which is negative.The difference of negative numbers deserve to be either negative, positive, or zero:

, butIf

is a positive number, and is additionally a positive number, what is a possible value for ?Explanation:

Due to the fact that

Because

is additionally positive, must also be negative in order to create a prositive product.To check you answer, you have the right to attempt plugging in any type of negative number for .

Explanation:

By choosing a random negative number, for example: –4, we have the right to input the number into each choice and also view if we come out via another negative number. When we put –4 in for x, we would certainly have –4 – (–(–4)) or –4 – 4, which is –8. Plugging in the various other choices gives a positive answer. You have the right to try other negative numbers, if essential, to confirm this still functions.

Explanation:

x: –7 – 7= –7 + –7 = –14

y: –7 – (–7) = –7 + 7 = 0

once subtracting an adverse number, rotate it into an addition problem

Explanation:

Begin by isolating your variable.

Subtract

from both sides:, orNext, subtract

from both sides:, orThen, divide both sides by

:Recall that department of an unfavorable by an adverse offers you a positive, therefore:

orExplanation:

The ascendancy for dividing negative numbers is the same as for multiplying negative numbers.

If both numbers are negative, you will certainly gain a positive answer.

If either number is positive, and the various other is negative, you will certainly acquire a negative answer.

Therefore:

Explanation:

To settle, first put the equation in terms of

:First multiply the x to both sides.

Now divide by 12 to fix for x.

Here, because among the numbers in the equation is positive, and the other is negative, the answer must be an adverse number:

Explanation:

To evaluate this, recreate the expression with the correct indicators.

Optimistic multiplied through a negative sign outcomes in an unfavorable, and also a twin negative outcomes in a positive sign.

Explanation:

It is possible to rewrite the expression as:

Take the negative of the distinction of 47 and 23.

The answer is

.Explanation:

Evaluate the inner term inside the parenthesis first. The expression have the right to then be simplifed to an integer.

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