Which statement is true?

A. \(|-8| < |8|\)

B. \(|-2| > 1\)

C. \(|-7| = -7\)

D. \(|12| > |-15|\)

We aplly the rules of the module:
∣ x ∣ = { x ; x ≥ 0 − x ; x < 0 ​
So, we have:
1 \\\\ \boxed{\boxed{2>1}} \to\to True \\\\ C) |-7|=-7 \\\\ 7=-7 \to\to False \\\\ D)|12|>|-15| \\\\ 12>15 \to\to False"> A ) ∣ − 8∣ < ∣8∣ 8 < 8 →→ F a l se → 8 = 8 ​ B ) ∣ − 2∣ > 1 2 > 1 ​ ​ →→ T r u e C ) ∣ − 7∣ = − 7 7 = − 7 →→ F a l se D ) ∣12∣ > ∣ − 15∣ 12 > 15 →→ F a l se
The right answer is variant B.

Answered by mariamikayla | 2024-06-10

Letter B is true because the absolute value of -2 is 2. The mouth is opened towards the 2 and |-2| is greater than 1. It is just as if saying 2 is greater than 1

Answered by jmkl | 2024-06-10

The true statement among the options provided is option B: 1"> ∣ − 2∣ > 1 . The absolute value of -2 is 2, which is indeed greater than 1. All other statements are false according to the properties of absolute values.
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Answered by mariamikayla | 2024-12-26