For which equations is x = 9 a possible solution? check all that apply.

|x| = 9

–|x| = 9

–|–x| = 9

–|–x| = –9

|x| = –9

|–x| = 9

|–x| = –9

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.