QuestionWrite a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

Studdy Solution

STEP 1

Assumptions1. The given sentence is " $7x -7 =42$ implies that $7x =49$ " . We need to write this sentence as a conditional statement3. A conditional statement is typically in the form "If, then Q", where is a hypothesis and Q is a conclusion

STEP 2

First, let's understand the given sentence. " $7x -7 =42$ implies that $7x =49$ " means that if the equation " $7x -7 =42$ " is true, then the equation " $7x =49$ " must also be true.

STEP 3

We can write this as a conditional statement in the form "If, then Q". Here, is " $7x -7 =42$ " and Q is " $7x =49$ ".

STEP 4

So, the conditional statement is "If $7x -7 =42$ , then $7x =49$ ".

STEP 5

Now, let's compare this conditional statement with the given options.

STEP 6

Option A "If $x =49$ , then $x =$ ". This is not the same as our conditional statement.

STEP 7

Option B "If $7x -7 =42$ , then $7x =49$ ". This is the same as our conditional statement.

STEP 8

Option C "If $7x -7 =42$ , then $x =7$ ". This is not the same as our conditional statement.

STEP 9

Option D "If $7x =49$ , then $7x -7 =42$ ". This is not the same as our conditional statement.

STEP 10

So, the correct answer is Option B "If $7x -7 =42$ , then $7x =49$ ".

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QuestionWrite a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

Studdy Solution

STEP 1

Assumptions1. The given sentence is " $7x -7 =42$ implies that $7x =49$ " . We need to write this sentence as a conditional statement3. A conditional statement is typically in the form "If, then Q", where is a hypothesis and Q is a conclusion

STEP 2

First, let's understand the given sentence. " $7x -7 =42$ implies that $7x =49$ " means that if the equation " $7x -7 =42$ " is true, then the equation " $7x =49$ " must also be true.

STEP 3

We can write this as a conditional statement in the form "If, then Q". Here, is " $7x -7 =42$ " and Q is " $7x =49$ ".

STEP 4

So, the conditional statement is "If $7x -7 =42$ , then $7x =49$ ".

STEP 5

Now, let's compare this conditional statement with the given options.

STEP 6

Option A "If $x =49$ , then $x =$ ". This is not the same as our conditional statement.

STEP 7

Option B "If $7x -7 =42$ , then $7x =49$ ". This is the same as our conditional statement.

STEP 8

Option C "If $7x -7 =42$ , then $x =7$ ". This is not the same as our conditional statement.

STEP 9

Option D "If $7x =49$ , then $7x -7 =42$ ". This is not the same as our conditional statement.

STEP 10

So, the correct answer is Option B "If $7x -7 =42$ , then $7x =49$ ".

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QuestionWrite a conditional from 7x−7=427 x-7=427x−7=42 implies 7x=497 x=497x=49. Choose the correct option: A, B, C, or D.

Studdy Solution

STEP 1

Assumptions1. The given sentence is "7x−7=427x -7 =427x−7=42 implies that 7x=497x =497x=49" . We need to write this sentence as a conditional statement3. A conditional statement is typically in the form "If, then Q", where is a hypothesis and Q is a conclusion

STEP 2

First, let's understand the given sentence. "7x−7=427x -7 =427x−7=42 implies that 7x=497x =497x=49" means that if the equation "7x−7=427x -7 =427x−7=42" is true, then the equation "7x=497x =497x=49" must also be true.

STEP 3

We can write this as a conditional statement in the form "If, then Q". Here, is "7x−7=427x -7 =427x−7=42" and Q is "7x=497x =497x=49".

STEP 4

So, the conditional statement is "If 7x−7=427x -7 =427x−7=42, then 7x=497x =497x=49".

STEP 5

Now, let's compare this conditional statement with the given options.

STEP 6

Option A "If x=49x =49x=49, then x=x =x=". This is not the same as our conditional statement.

STEP 7

Option B "If 7x−7=427x -7 =427x−7=42, then 7x=497x =497x=49". This is the same as our conditional statement.

STEP 8

Option C "If 7x−7=427x -7 =427x−7=42, then x=7x =7x=7". This is not the same as our conditional statement.

STEP 9

Option D "If 7x=497x =497x=49, then 7x−7=427x -7 =427x−7=42". This is not the same as our conditional statement.

STEP 10

So, the correct answer is Option B "If 7x−7=427x -7 =427x−7=42, then 7x=497x =497x=49".

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QuestionWrite a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

Assumptions1. The given sentence is " $7x -7 =42$ implies that $7x =49$ " . We need to write this sentence as a conditional statement3. A conditional statement is typically in the form "If, then Q", where is a hypothesis and Q is a conclusion

First, let's understand the given sentence. " $7x -7 =42$ implies that $7x =49$ " means that if the equation " $7x -7 =42$ " is true, then the equation " $7x =49$ " must also be true.

We can write this as a conditional statement in the form "If, then Q". Here, is " $7x -7 =42$ " and Q is " $7x =49$ ".

So, the conditional statement is "If $7x -7 =42$ , then $7x =49$ ".

Option A "If $x =49$ , then $x =$ ". This is not the same as our conditional statement.

Option B "If $7x -7 =42$ , then $7x =49$ ". This is the same as our conditional statement.

Option C "If $7x -7 =42$ , then $x =7$ ". This is not the same as our conditional statement.

Option D "If $7x =49$ , then $7x -7 =42$ ". This is not the same as our conditional statement.

So, the correct answer is Option B "If $7x -7 =42$ , then $7x =49$ ".