|a| −three-fourths = −five-eighths

Question

(1 point)
Responses

one-eighth or –one-eighth
Image with alt text: one-eighth or – Image with alt text: one-eighth

seven-eighthsor –seven-eighths
Image with alt text: seven-eighths or – Image with alt text: seven-eighths

1three-eighths or –1three-eighths
1 Image with alt text: three-eighths or –1 Image with alt text: three-eighths

no solution

Answer 1

To solve the equation |a| - three-fourths = -five-eighths, we can rearrange the equation to isolate the absolute value of a:

|a| = -five-eighths + three-fourths

|a| = -five-eighths + six-eighths

|a| = one-eighth

Therefore, the absolute value of a is one-eighth or -one-eighth.
So, the correct response is: one-eighth or -one-eighth.