Question 1(multiple choice worth 3 points)

(07.06) if the greatest value the variable n can be is 6, which of the following inequalities best shows all the possible values of n?

n < 6
n > 6
n ≤ 6
n ≥ 6

question 2(multiple choice worth 3 points)

(07.06)number line with closed circle on 9 and shading to the right.

which of the following inequalities best represents the graph above?

n > 9
n < 9
n ≤ 9
n ≥ 9

question 4(multiple choice worth 3 points)

(07.06) z > 34. which of the following statements is the best way to describe the value of z?

the value of z is less than 34.
the value of z is more than 34.
the value of z has a maximum of 34.
the value of z has a minimum of 34.

 The correct options are (1). C, (2). D and  (3) A.  

Step-by-step explanation:  The explanations are given below.

(1) Given that the greatest value of a variable 'n' can be 6, so the value of 'n' will be either equal to or less than 6.

Therefore, we can write

n ≤ 6

Thus, (C) is the correct option.

(2) Since the number line has a closed circle on 9, so a variable n can be equal to 9.

And the number line is shaded to the right of 9, so the value of n can be greater than 9.

Therefore, the value of 'n' can be equal to or greater than 9.

So, we can write

n ≥ 9.

Thus, (D) is the correct option.

(3) Given that  z > 34.

So, the value of z can be less than 34 but not equal to 34.

Therefore, the value of z is less than 34.

Thus, (A) is the correct option.

Hence, the correct options are (1). C, (2). D and  (3) A.