QuestionIs $4$ greater than or equal to the absolute value of $-8$ ?

Studdy Solution

STEP 1

Assumptions1. The symbol $\supseteq$ is used to denote "greater than or equal to". . The symbol $|$ $|$ denotes the absolute value, which is the distance of a number from zero on the number line.
3. The absolute value of a number is always non-negative.

STEP 2

We need to find the absolute value of -8.
$|-8|$

STEP 3

Calculate the absolute value of -8.
$|-8| =8$

STEP 4

Now, we need to compare4 and8 using the "greater than or equal to" symbol.
$4 \supseteq8$

STEP 5

etermine if4 is greater than or equal to8.
Since4 is not greater than or equal to8, the statement $4 \supseteq |-8|$ is false.

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QuestionIs $4$ greater than or equal to the absolute value of $-8$ ?

Studdy Solution

STEP 1

Assumptions1. The symbol $\supseteq$ is used to denote "greater than or equal to". . The symbol $|$ $|$ denotes the absolute value, which is the distance of a number from zero on the number line.
3. The absolute value of a number is always non-negative.

STEP 2

We need to find the absolute value of -8.
$|-8|$

STEP 3

Calculate the absolute value of -8.
$|-8| =8$

STEP 4

Now, we need to compare4 and8 using the "greater than or equal to" symbol.
$4 \supseteq8$

STEP 5

etermine if4 is greater than or equal to8.
Since4 is not greater than or equal to8, the statement $4 \supseteq |-8|$ is false.

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QuestionIs 444 greater than or equal to the absolute value of −8-8−8?

Studdy Solution

STEP 1

Assumptions1. The symbol ⊇\supseteq⊇ is used to denote "greater than or equal to". . The symbol ∣|∣ ∣|∣ denotes the absolute value, which is the distance of a number from zero on the number line.3. The absolute value of a number is always non-negative.

STEP 2

We need to find the absolute value of -8.∣−8∣|-8|∣−8∣

STEP 3

Calculate the absolute value of -8.∣−8∣=8|-8| =8∣−8∣=8

STEP 4

Now, we need to compare4 and8 using the "greater than or equal to" symbol.4⊇84 \supseteq84⊇8

STEP 5

etermine if4 is greater than or equal to8.Since4 is not greater than or equal to8, the statement 4⊇∣−8∣4 \supseteq |-8|4⊇∣−8∣ is false.

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QuestionIs $4$ greater than or equal to the absolute value of $-8$ ?

Assumptions1. The symbol $\supseteq$ is used to denote "greater than or equal to". . The symbol $|$ $|$ denotes the absolute value, which is the distance of a number from zero on the number line.
3. The absolute value of a number is always non-negative.

We need to find the absolute value of -8.
$|-8|$

Calculate the absolute value of -8.
$|-8| =8$

Now, we need to compare4 and8 using the "greater than or equal to" symbol.
$4 \supseteq8$

etermine if4 is greater than or equal to8.
Since4 is not greater than or equal to8, the statement $4 \supseteq |-8|$ is false.