Question

All of the following are true statements except

a- |56| = 56
b- -156] = 56
c- 1-561 = 56
d- -156) = -56

Answer 1

The false statement among the given options is d- - | 56 | = -56 because it incorrectly suggests that the negative of an absolute value equals the absolute value, which is not true.

Step-by-step explanation:

The student's question involves understanding the concept of absolute value in mathematics. The absolute value of a number is the distance of that number from zero on the number line, regardless of direction, which is why it is always a non-negative number. Now, let's analyze the given options to find the one that is not a true statement:

• a- |56| = 56 is true because the absolute value of 56 is 56.
• b- |-56| = 56 is true because the absolute value of -56 is 56.
• c- | -56 | = 56 is true because the absolute value of -56 is 56.
• d- - | 56 | = -56 is the false statement. It illustrates that taking the negative of the absolute value of 56 results in -56, which is not equal to the absolute value but instead is the opposite in sign.

Therefore, the correct answer is d- - | 56 | = -56.