Absolute values big bookg p 142

[NazaninAmsterdam]

Can anyone help me with this. I thought B but it’s C. Also would appreciate some interpretation of what’s happening. Here’s my train of thought

x?y= - |x+y| so the negative of the absolute values of x + y
3?(-4) = - |3+4| = -7
What am I doing wrong? The absolute value of -4 = 4 right?

[Karishma]

We should not be taking the absolute value of -4.

In Quantity A, if we compare it with the above function, we have x = 3 and y = - 4

On plugging these into the right side of the given function, we get
- |3 + (- 4)|

So that’s
→ - |3 - 4|
→ - |- 1|
→ -1

Quantity B is also 3 - 4 = -1

Hence, C

[NazaninAmsterdam]

THANKS!
Two more questions

• So in words the function says: take the negative of the absolute value of the sum of x + y, correct?
• In the last two steps it says - |-1| so that means the negative of the absolute value of -1. Abs value of -1 = 1 but then negated again because the minus sign outside the brackets. Correct?

Thanks for this

[Karishma]

Yep, that’s absolutely right!

[NazaninAmsterdam]

Thank you! Appreciate it