Question

Which number sentence is true?

a) |-8| < 8
b) |-15| < 15
c) |-8| < |-15|
d) |8| > |-15|

Answer 1

The true number sentence is option (c) |-8| < |-15|, because the absolute value of -8 is 8 and the absolute value of -15 is 15, which makes the statement 8 < 15 true.

Step-by-step explanation:

The question presented here is asking which number sentence is true. This involves an understanding of absolute values, which is the distance a number is from zero on a number line, regardless of direction. An absolute value is always a non-negative number. Let's evaluate the options presented:

• (a) |-8| < 8: The absolute value of -8 is 8, so this statement says 8 < 8 which is not true.
• (b) |-15| < 15: The absolute value of -15 is 15, so this statement says 15 < 15 which is not true.
• (c) |-8| < |-15|: The absolute value of -8 is 8, and the absolute value of -15 is 15. This statement is saying 8 < 15 which is true. Therefore, this is the correct answer.
• (d) |8| > |-15|: The absolute value of both 8 and -15 is 8 and 15 respectively, so the statement says 8 > 15 which is not true.

Therefore, the true number sentence is (c) |-8| < |-15|.