Choose the correct solution and graph for the inequality.
negative 4 x less than or equal to negative 12
(1 point)
Responses
x greater than or equal to 3
A number line has a closed circle at 3 and is filled in to the right.
Image with alt text: x greater than or equal to 3 Image with alt text: A number line has a closed circle at 3 and is filled in to the right.
x less than or equal to 3
A number line has a closed circle at 3 and is filled in to the left.
Image with alt text: x less than or equal to 3 Image with alt text: A number line has a closed circle at 3 and is filled in to the left.
x is greater than or equal to 8
A number line has a closed circle at 8 and is filled in to the right.
Image with alt text: x is greater than or equal to 8 Image with alt text: A number line has a closed circle at 8 and is filled in to the right.
x is greater than or equal to negative 8
A number line has a closed circle at negative 8 and is filled in to the right.
A number line has a closed circle at negative 8 and is filled in to the right.
Image with alt text: x is greater than or equal to negative 8 Image with alt text: A number line has a closed circle at negative 8 and is filled in to the right.
What are the solutions of the inequality? Check the solutions.
5(x – 4) < 10
(1 point)
Responses
x < –10
x < –10
x < 6
x < 6
x > –6
x > –6
x > 4
x > 4
What are the solutions of the inequality? Check the solutions.
12 + 10w ≥ 8(w +12)
(1 point)
Responses
w ≥ –42
w ≥ –42
w ≥ 48
w ≥ 48
w ≥ 42
w ≥ 42
w ≥ 54
w ≥ –42
If D is the set of whole numbers that are whole numbers less than 7, choose the selection below that correctly shows this set in roster and set-builder notation.
(1 point)
Responses
D = {0, 1, 2, 3}; D = {x | x is a whole number, x < 7}
D = {0, 1, 2, 3}; D = { x | x is a whole number, x < 7}
D = {0, 1, 2, 3, 4, 5 , 6, 7, 8, 9, 10}; D = {x < 7}
D = {0, 1, 2, 3, 4, 5 , 6, 7, 8, 9, 10}; D = { x < 7}
D = {0, 1, 2, 3, 4, 5, 6}; D = {x | x is a whole number, x < 7}
D = {0, 1, 2, 3, 4, 5, 6}; D = { x | x is a whole number, x < 7}
D = {8, 9, 10}; D = {x < 7}
D = {0, 1, 2, 3, 4, 5, 6}; D = {x | x is a whole number, x < 7}
In set-builder notation, how do you write the solutions of the inequality?
5x + 17 ≥ 7
(1 point)
Responses
{x | x ≥ 2}
{ x | x ≥ 2}
{x | x ≥ –2}
{ x | x ≥ –2}
{x | x ≤ –2}
{ x | x ≤ –2}
{x | x ≤ 2}
{ x | x ≤ 2}
{ x | x ≥ -2}
In set-builder notation, how do you write the solutions of the inequality?
–4 – x ≥ –2
(1 point)
Responses
{x | x ≥ –2}
{ x | x ≥ –2}
{x | x ≥ 2}
{ x | x ≥ 2}
{x | x ≤ –2}
{ x | x ≤ –2}
{x | x ≤ 2}