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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Okay, so I don't know why it is A? I thought it was D? I thought not drawn to scale is why it would be D? Can you please explain?

Since (a, b) is on the positive portion of the x-axis. a is positive and b= 0; so a + b is positive. Also, since (c, d) is on the negative portion of the axis, c is negative and d= 0; so c+d is negative. Quantity A is greater.
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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Let's examine each point.

(a, b) This point is on the x-axis, which means its y-coordinate = 0 So, b = 0 Also, since the point lies to the RIGHT of the origin (0,0), its x-coordinate is POSITIVE So, a is some POSITIVE NUMBER

(c, d) This point is on the y-axis, which means its x-coordinate = 0 So, c = 0 Also, since the point lies BELOW the origin (0,0), its y-coordinate is NEGATIVE So, d is some NEGATIVE NUMBER

So, we get: Quantity A: a + b = some POSITIVE NUMBER + 0 Quantity B: c + d = some NEGATIVE NUMBER + 0

Simplify: Quantity A: some POSITIVE NUMBER Quantity B: some NEGATIVE NUMBER