Question 1

Question

A)
Is d = 7 a solution to the inequality below?
83 > 7d
(1 point)
Yes 
No
Question 2
A)
Is y = 5 a solution to the inequality below?
6 < y
(1 point)
Yes
No
Question 3
A)
Is t = 7 a solution to the inequality below?
3t < 32
(1 point)
Yes
No
Question 4
A)
Graph.
x < 2
(1 point)

Answer 1

Let's go through each question one by one.

Question 1: Is \( d = 7 \) a solution to the inequality \( 83 > 7d \)?

Substitute \( d = 7 \) into the inequality: \[ 83 > 7(7) \] \[ 83 > 49 \]

Since 83 is indeed greater than 49, the answer is: Yes.

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Question 2: Is \( y = 5 \) a solution to the inequality \( 6 < y \)?

Substitute \( y = 5 \) into the inequality: \[ 6 < 5 \]

This is false since 6 is not less than 5. Therefore, the answer is: No.

---

Question 3: Is \( t = 7 \) a solution to the inequality \( 3t < 32 \)?

Substitute \( t = 7 \) into the inequality: \[ 3(7) < 32 \] \[ 21 < 32 \]

This is true. Therefore, the answer is: Yes.

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Question 4: Graph the inequality \( x < 2 \).

To graph \( x < 2 \):

1. Draw a number line.
2. Locate the point 2 on the line.
3. Since the inequality is "<" (not ≤), use an open circle at 2 to indicate that 2 is not included.
4. Shade the line to the left of the open circle to indicate that all numbers less than 2 are included.

The graph should look like this:

<---(2)---•------------->

This indicates all \( x \) values less than 2.

If you need further clarification or additional details, feel free to ask!

Answer 2

Question 5
A)
Graph.

x > 4

(1 point)
Responses

Open circle going to the right, starting at 4
Open circle going to the right, starting at 4

Closed circle going to the right, starting at 4
Closed circle going to the right, starting at 4
Question 6
A)
Graph.

x ≥ 6

(1 point)
Responses

Closed circle going to the right, starting at 6
Closed circle going to the right, starting at 6

Open circle going to the right, starting at 6
Open circle going to the right, starting at 6