Multiple Choice
What inequality represents the verbal expression?
all real numbers less than 69
(1 point)
Responses
x ≤ 69
x ≤ 69
x ≥ 69
x ≥ 69
x > 69
x > 69
x < 69
x < 69
The correct answer is:
x < 69
The verbal expression "all real numbers less than 69" can be represented by the inequality x < 69.
To understand how to arrive at this answer, let's break down the verbal expression:
1. "Less than" indicates that the numbers should be smaller than 69.
2. "All real numbers" implies that there are no restrictions on the possible values for x.
Combining these two points, we can represent any number that is smaller than 69, without any upper limit, as x < 69.
Therefore, the correct choice is x < 69.
What is the graph of the inequality?
d < 2
(1 point)
Responses
1.2a
Image with alt text: 1.2a
1.2b
Image with alt text: 1.2b
1.2c
Image with alt text: 1.2c
1.2d
1.2c
x ≤ 5
(1 point)
Responses
1.3a
Image with alt text: 1.3a
1.3b
Image with alt text: 1.3b
1.3c
Image with alt text: 1.3c
1.3d
1.3c
What inequality represents the graph?
A number line is shown from negative 12 to 12. An open circle is plotted at negative 8 and a solid ray extends from the open circle to the right.
(1 point)
Responses
x ≤ –8
x ≤ –8
x < –8
x < –8
x > –8
x > –8
x < 8
x > -8
What inequality describes the situation?
Let t = the amount Thomas earned. Thomas earned $49 or more.
(1 point)
Responses
t ≤ 49
t ≤ 49
t ≥ 49
t ≥ 49
t > 49
t > 49
t < 49