Answered

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For the expression [tex]\(2x + 7\)[/tex], which one is true?

(i) Variable [tex]\(= x\)[/tex], Constant [tex]\(= 2\)[/tex]
(ii) Variable [tex]\(= x\)[/tex], Constant [tex]\(= 7\)[/tex]
(iii) Variable [tex]\(= 7\)[/tex], Constant [tex]\(= x\)[/tex]

Select one:
a. (i), (ii), and (iii)
b. (ii) only
c. (i) and (ii)
d. (i) only

Sagot :

GinnyAnswer
Let's analyze the given expression [tex]\(2x + 7\)[/tex].

1. Identify the variable and constants:

- In the expression [tex]\(2x + 7\)[/tex], [tex]\(x\)[/tex] is the variable.
- The term [tex]\(2x\)[/tex] consists of the coefficient [tex]\(2\)[/tex] (a constant) and the variable [tex]\(x\)[/tex].
- The term [tex]\(7\)[/tex] is also a constant.

2. Evaluate the statements:

- Statement (i) Variable [tex]\(= x\)[/tex], Constant [tex]\(=2\)[/tex]:
This statement is analyzing the term [tex]\(2x\)[/tex]. Here, [tex]\(x\)[/tex] is the variable, and [tex]\(2\)[/tex] is the coefficient (which is a constant). Thus, this statement is true.

- Statement (ii) Variable [tex]\(= x\)[/tex], Constant [tex]\(= 7\)[/tex]:
This statement is considering the entire expression. Here, [tex]\(x\)[/tex] remains the variable, and [tex]\(7\)[/tex] is a constant term. Thus, this statement is also true.

- Statement (iii) Variable [tex]\(= 7\)[/tex], Constant [tex]\(= x\)[/tex]:
This statement suggests [tex]\(7\)[/tex] should be treated as a variable and [tex]\(x\)[/tex] as a constant. In our context, this is incorrect because [tex]\(7\)[/tex] is clearly a constant term and [tex]\(x\)[/tex] is the variable. Thus, this statement is false.

3. Select the correct options:

Given the evaluations above:
- Statements (i) and (ii) are true.
- Statement (iii) is false.

Therefore, the correct option is:
c. (i) and (ii)
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