Question

2.) Which expression has a value of -4? A. (-4) B. |-4| C. |4| D. -|4|

Answer 1

Answer:

A and D both have a value of -4

Step-by-step explanation:

A. (-4)  = -4

B. |-4|  = positive value of what is inside = 4

C. |4| = positive value of what is inside = 4

D. -|4| = -positive value of what is inside = -4

Answer 2

Answer:

A. (-4)

D. -|4|

Step-by-step explanation:

Option A

$(-4) = -4$

Option B

$\left|-4\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|-a|=a\\=4$

Option C

$|4|\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\= 4$

Option D

$-|4|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\=-4$