QuestionIdentify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) d) .
Studdy Solution
STEP 1
Assumptions1. A statement in mathematics is a sentence that can either be true or false, but not both. . The statements are given as follows a) Washington is a state. b) Run past the gym. c) d)
STEP 2
We will analyze each statement one by one. Starting with statement a) "Washington is a state."
STEP 3
Statement a) "Washington is a state" is a sentence that can be either true or false. Therefore, it is a statement.
STEP 4
To determine if the statement is true or false, we need to check the factual accuracy. Washington is indeed a state in the United States. Therefore, the statement is true.
STEP 5
The answer for statement a) is B. This is a true statement.
STEP 6
Next, we will analyze statement b) "Run past the gym."
STEP 7
Statement b) "Run past the gym" is a sentence, but it cannot be classified as true or false because it is a command, not a statement.
STEP 8
The answer for statement b) is C. This is not a statement.
STEP 9
Next, we will analyze statement c) .
STEP 10
Statement c) is a sentence that can be either true or false, depending on the value of x. Therefore, it is a statement.
STEP 11
To determine if the statement is true or false, we need to solve for x. If x equals3, the statement is true. If x is any other number, the statement is false.
STEP 12
The answer for statement c) is A. This is a true statement.
STEP 13
Finally, we will analyze statement d) .
STEP 14
Statement d) is a sentence that can be either true or false. Therefore, it is a statement.
STEP 15
To determine if the statement is true or false, we need to perform the calculation. equals , not . Therefore, the statement is false.
STEP 16
The answer for statement d) is A. This is a false statement.
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