Determine the flaws in the solution,
Analyze the solution shown
1. -|-xl = 7: given
2. |-x) = -7: multiplication property of equality
3. -* = 7 or -x = -7: definition of absolute value
4. X -7 or x = 7: multiplication property of equality
6. Check: -1-(-7)] = 7,-777
-1-71=7,7=7
Negative times negative is positive
The multiplication property of equality in Step 2
should result in 1x1 = 7
The definition of absolute value is applied
incorrectly. There is no solution.
The reason in Step 4 should be the addition
property of equality.
The multiplication property of equality in Step 4
should result in only x = 7
In evaluating the solutions, the absolute value
should be simplified first to get a positive value