Question

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

Answer 1

A. (-4)

D. -|4|

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`

Answer 2

A and D both have a value of -4

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