AnswersSS-Math 7Writing Inequalities

Writing Inequalities Answers

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Which did you consider in your response? Check all that apply.

A
Whether the circle is open or closed determines whether the boundary point is included in the solution set.
B
The direction of the arrow indicates whether the inequality involves greater than or less than.
4

Which inequality is graphed?

A
2 < x
B
2 > x
C
2 x
Option C
D
2 x
Option D
6

Which statements are true about y 8 and its graph? Check all that apply.

Question illustration
A
y = 0 is part of the solution set.
B
y = 8 is part of the solution set.
C
y = 10 is part of the solution set.
D
There is an open circle on the graph at 8.
E
There is a closed circle on the graph at 8.
F
The arrow on the graph points left.
G
The arrow on the graph points right.
7

Which statements are true about the graph of –6.5 < x? Check all that apply.

A
There is an open circle on –6.5.
B
There is an open circle on 6.5.
C
There is a closed circle on –6.5.
D
The graph includes the point 6.5.
E
The arrow points to the left.
F
The arrow points to the right.
9

Which list contains values that are all part of the solution set of the graphed inequality?

A
2, 1, 3.9, 4
B
1.3, 4, 0, 2.6
C
1.1, 1.5, 19.7, 8.2
D
11, 1, 48.5, 7
10

A graph of an inequality includes an open circle and an arrow pointing left. Explain how you would use that information to choose which symbol to use to write an inequality.

Answer:

Since the circle is open, the symbol must be , because the boundary point is not included. The arrow points left, so the solution set includes all values less than the boundary point. I would use < in my inequality.

11

Anise wants to have longer hair than her sister. Her sister’s hair is 2.25 feet long. How long does Anise’s hair have to be? Which graph represents the scenario?

A
A number line going from negative 3 to positive 5. A closed circle is at 2.25. Everything to the right of the circle is shaded.
Option A
B
A number line going from negative 3 to positive 5. An open circle is at 2.25. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 3 to positive 5. An open circle is at 2.25. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 3 to positive 5. A closed circle is at 2.25. Everything to the left of the circle is shaded.
Option D

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