Multiple Choice

Solve. y – 5 A symbol less than or equal to 6
(1 point)
Responses

y ≤ 1
y ≤ 1

y ≤ 11
y ≤ 11

y ≤ –11
y ≤ –11

y ≤ 30

7 answers

Since we are given the inequality y - 5 ≤ 6, we can solve it by adding 5 to both sides of the inequality:

y - 5 + 5 ≤ 6 + 5
y ≤ 11

Therefore, the correct answer is y ≤ 11.
Solve. 8 > d – 2
(1 point)
Responses

d < 10
d < 10

d > 10
d > 10

d < 6
d < 6

d > 4
Since we are given the inequality 8 > d - 2, we can solve it by adding 2 to both sides of the inequality:

8 + 2 > d - 2 + 2
10 > d

Therefore, the correct answer is d < 10.
Solve. 3.8 ≥ b + 4
(1 point)
Responses

b ≤ –0.2
b ≤ –0.2

b ≤ 0.2
b ≤ 0.2

b ≤ 7.8
b ≤ 7.8

b ≤ 1.8
Since we are given the inequality 3.8 ≥ b + 4, we can solve it by subtracting 4 from both sides of the inequality:

3.8 - 4 ≥ b + 4 - 4
-0.2 ≥ b

Therefore, the correct answer is b ≤ -0.2.
Match the inequality to the graph of its solution.(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A number line between negative 10 and 10 is shown. A blue open circle is shown at 10, and a blue ray is drawn to the left of 10.

A number line between negative 10 and 10 is shown. A blue closed circle is shown at negative 4, and a blue ray is drawn to the left of negative 4.
A number line is labeled from negative 10 to 10. There is an open circle on 4 and the line is shaded to the right.
A number line between negative 10 and 10 is shown. A blue open circle is shown at 10, and a blue ray is drawn to the left of 10.

The inequality that matches this graph is: x < 10.

A number line between negative 10 and 10 is shown. A blue closed circle is shown at negative 4, and a blue ray is drawn to the left of negative 4.

The inequality that matches this graph is: x ≤ -4.

A number line is labeled from negative 10 to 10. There is an open circle on 4 and the line is shaded to the right.

The inequality that matches this graph is: x > 4.