AnswersSS-Math 7Writing Inequalities

Graphing Inequalities Answers

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1
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Which inequality is represented by this graph?

Question illustration
A
x greater-than 3
Option A
B
x greater-than-or-equal-to 3
Option B
C
x greater-than 4
Option C
D
x greater-than-or-equal-to 4
Option D
2
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Which inequality is represented by this graph?

Question illustration
A
Negative 34.5 greater-than x
Option A
B
Negative 34.5 less-than x
Option B
C
Negative 35.5 greater-than x
Option C
D
Negative 35.5 less-than x
Option D
3

How do the number line graphs of the solutions sets of and differ?

Question illustration
A
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
B
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.
C
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction.
D
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.
4

Which inequality has a closed circle when it is graphed on a number line?

A
x greater-than 0.4
Option A
B
x greater-than negative 3
Option B
C
x less-than 4
Option C
D
x greater-than-or-equal-to 3
Option D
5

Which inequality is represented by this graph?

Question illustration
A
0 greater-than x
Option A
B
x greater-than 0
Option B
C
0 greater-than-or-equal-to x
Option C
D
x greater-than-or-equal-to 0
Option D
6

Which inequality has an open circle when it is graphed on a number line?

A
x greater-than three-fifths
Option A
B
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
Option B
C
x less-than-or-equal-to 12
Option C
D
x greater-than-or-equal-to negative 6
Option D
8

Which value is included in the solution set for the inequality graphed on the number line?

Question illustration
A
–5
B
–2
C
0
D
3
9

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement?

A
A number line going from 50 to 58. An open circle is at 53. Everything to the right of the circle is shaded.
Option A
B
A number line going from 50 to 58. An open circle is at 54. Everything to the right of the circle is shaded.
Option B
C
A number line going from 50 to 58. A closed circle is at 54. Everything to the right of the circle is shaded.
Option C
D
A number line going from 50 to 58. A closed circle is at 55. Everything to the right of the circle is shaded.
Option D
10

Which number line shows the graph of ?

Question illustration
A
A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the right of the circle is shaded.
Option D
11

Liam must determine the inequality represented by the solution set on the number line.Which statement must be true?

Question illustration
A
The arrow points to the left, so only the or symbol can be used in the inequality.
Option A
B
The solution set includes –7, so only the or symbol can be used in the inequality.
Option B
C
The circle at –7 is open, so only the or symbol can be used in the inequality.
Option C
D
The circle is on a negative number, so only the or symbols can be used in the inequality.
Option D
12

The unit price of strawberries at a local fruit stand is $3.29 per pound for quantities of berries indicated in the graph below.Which statement is best supported by the graph?

Question illustration
A
Customers who buy at least 7 pounds of strawberries pay $3.29 per pound.
B
Customers who buy more than 7 pounds of strawberries pay $3.29 per pound.
C
Customers who buy less than 7 pounds of strawberries pay $3.29 per pound.
D
Customers who buy at most 7 pounds of strawberries pay $3.29 per pound.
13

Which number line shows the graph of ?

Question illustration
A
A number line going from 6 to 14. An open circle is at 11. Everything to the right of the circle is shaded.
Option A
B
A number line going from 6 to 14. A closed circle is at 11. Everything to the right of the circle is shaded.
Option B
C
A number line going from 6 to 14. An open circle is at 11. Everything to the left of the circle is shaded.
Option C
D
A number line going from 6 to 14. A closed circle is at 11. Everything to the left of the circle is shaded.
Option D
14

Bryan is asked to write an inequality to represent the graph.He writes .Which error did Bryan make?

Question illustration
A
Bryan must write the inequality with the variable on the left side of the relation symbol.
B
Bryan chose a relation symbol that does not point in the same direction as the ray.
C
Bryan included –14 in his solution set.
D
Bryan used the wrong number in his inequality.

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