Answer:
option A, D and F are correct.
|x| = 9, -|-x| = –9 and |–x| = 9
Step-by-step explanation:
Absolute value of any number is positive or 0.
for example:
|-a| = a
|a| = a
As per the statement :
For which equations is x = 9 a possible solution.
Option A:
|x| = 9
by definition of absolute value:
⇒x = 9
Similarly,
Option B:
-|x| = 9
⇒ -x = 9 or x = -9
Option C
-|-x| = 9
⇒ -x = 9
⇒x = -9
Option D:
-|-x| = –9
⇒ -x = -9
⇒ x = 9
Option E
|x| = –9
⇒x = -9
Option F
|–x| = 9
⇒x =9
Option G
|–x| = –9
⇒x = -9
Therefore, an equation for which possible solution is x = 9 are:
|x| = 9, -|-x| = –9 and |–x| = 9.
