Which of the following statements is true? (1 point)

• 1 - 40| < |40|
0|- 40| = 140
• 1 - 40| * |40|
0|- 40| > 1401

1 answer

To determine which of the statements is true, we need to evaluate each one individually.

  1. 1 - 40| < |40|:

    • First, we compute \( 40| \). Assuming we interpret \( |X| \) as the absolute value, we have \( |40| = 40 \).
    • This makes the statement \( 1 - 40 < 40 \).
    • Evaluating, \( 1 - 40 = -39 \), and indeed, \( -39 < 40 \) is true.
  2. 0|- 40| = 140:

    • Here, \( |-40| = 40 \).
    • Thus, the left side becomes \( 0 \cdot 40 = 0 \).
    • The statement claims \( 0 = 140 \), which is false.
  3. 1 - 40| * |40|:

    • We have already calculated \( |40| = 40 \).
    • Thus, we need to evaluate \( 1 - 40 \cdot 40 \).
    • This is \( 1 - 1600 = -1599 \), and the statement as presented lacks a comparison to indicate what it is trying to assert.
  4. 0|- 40| > 1401:

    • Again, \( |-40| = 40 \), leading to \( 0 \cdot 40 = 0 \).
    • The statement claims \( 0 > 1401 \), which is false.

Upon evaluating all the statements, the only true one is:

1 - 40| < |40| (This is true since -39 < 40).