Math / Algebra

QuestionIs $m=-6$ a solution to the inequality below? $-39>-5 m$ yes no

Studdy Solution

STEP 1

1. We are given the inequality $-39 > -5m$ .
2. We need to determine if $m = -6$ satisfies this inequality.

STEP 2

1. Substitute $m = -6$ into the inequality.
2. Simplify the inequality.
3. Determine if the inequality holds true.

STEP 3

Substitute $m = -6$ into the inequality:
$-39 > -5(-6)$

STEP 4

Simplify the expression on the right side of the inequality:
$-5(-6) = 30$
Thus, the inequality becomes:
$-39 > 30$

STEP 5

Determine if the inequality $-39 > 30$ holds true.
Since $-39$ is not greater than $30$ , the inequality does not hold.
The answer is $\boxed{\text{no}}$ .

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QuestionIs $m=-6$ a solution to the inequality below? $-39>-5 m$ yes no

Studdy Solution

STEP 1

1. We are given the inequality $-39 > -5m$ .
2. We need to determine if $m = -6$ satisfies this inequality.

STEP 2

1. Substitute $m = -6$ into the inequality.
2. Simplify the inequality.
3. Determine if the inequality holds true.

STEP 3

Substitute $m = -6$ into the inequality:
$-39 > -5(-6)$

STEP 4

Simplify the expression on the right side of the inequality:
$-5(-6) = 30$
Thus, the inequality becomes:
$-39 > 30$

STEP 5

Determine if the inequality $-39 > 30$ holds true.
Since $-39$ is not greater than $30$ , the inequality does not hold.
The answer is $\boxed{\text{no}}$ .

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QuestionIs m=−6m=-6m=−6 a solution to the inequality below? −39>−5m-39>-5 m−39>−5m yes no

Studdy Solution

STEP 1

1. We are given the inequality −39>−5m -39 > -5m −39>−5m.2. We need to determine if m=−6 m = -6 m=−6 satisfies this inequality.

STEP 2

1. Substitute m=−6 m = -6 m=−6 into the inequality.2. Simplify the inequality.3. Determine if the inequality holds true.

STEP 3

Substitute m=−6 m = -6 m=−6 into the inequality:−39>−5(−6) -39 > -5(-6) −39>−5(−6)

STEP 4

Simplify the expression on the right side of the inequality:−5(−6)=30 -5(-6) = 30 −5(−6)=30Thus, the inequality becomes:−39>30 -39 > 30 −39>30

STEP 5

Determine if the inequality −39>30 -39 > 30 −39>30 holds true.Since −39-39−39 is not greater than 303030, the inequality does not hold. The answer is no\boxed{\text{no}}no​.

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QuestionIs $m=-6$ a solution to the inequality below? $-39>-5 m$ yes no

1. We are given the inequality $-39 > -5m$ .
2. We need to determine if $m = -6$ satisfies this inequality.

1. Substitute $m = -6$ into the inequality.
2. Simplify the inequality.
3. Determine if the inequality holds true.

Substitute $m = -6$ into the inequality:
$-39 > -5(-6)$

Simplify the expression on the right side of the inequality:
$-5(-6) = 30$
Thus, the inequality becomes:
$-39 > 30$

Determine if the inequality $-39 > 30$ holds true.
Since $-39$ is not greater than $30$ , the inequality does not hold.
The answer is $\boxed{\text{no}}$ .