Let's carefully analyze the two statements given:
1. [tex]\(5x + 3\)[/tex]
2. [tex]\(7x + 7 = -9\)[/tex]
### Step 1: Identify the characteristics of an expression
An expression is a mathematical phrase containing numbers, variables, and operation symbols, but it does not include an equality sign. For example, [tex]\(5x + 3\)[/tex] is an expression because it consists of numbers and variables involved in addition and multiplication, but lacks an equality sign.
### Step 2: Identify the characteristics of an equation
An equation is a mathematical statement expressing equality between two expressions, signified by an equality sign (=). For example, [tex]\(7x + 7 = -9\)[/tex] is an equation because it states that the expression [tex]\(7x + 7\)[/tex] is equal to [tex]\(-9\)[/tex].
### Step 3: Classify each statement
- Statement 1: [tex]\(5x + 3\)[/tex]
This does not have an equality sign, so it fits the definition of an expression.
- Statement 2: [tex]\(7x + 7 = -9\)[/tex]
This contains an equality sign, so it fits the definition of an equation.
### Step 4: Select the correct option based on the classification
Now, let's match these classifications with the provided options:
- (i) 1 is an Expression, 2 is an Equation
- (ii) 1 is an Equation, 2 is an Expression
From our analysis:
- Statement 1 is indeed an Expression.
- Statement 2 is indeed an Equation.
Therefore, option (i) is correct.
The choices are:
a. (i) and (ii) both
b. None of the above
c. (i) Only
d. (ii) Only
Since only (i) is correct, the correct answer is:
c. (i) Only
