9G (3.7) Finding the Interval of a Variable

9G (3.7) Finding the Interval of a Variable

ONE STEP

Drag and Drop

$$x\ \ge-13$$ and $$x\le-6$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

-13

x

-6

6

13

12

5

-5

-12

Drag and Drop

$$x\ \ge-6$$ and $$x\le6$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

-13

x

-6

6

7

-7

5

-5

<

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$$x\ +3\ge4$$ and $$x-2\le8$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

2

9

5

6

<

1

10

7

Drag and Drop

$$x\ +7>4$$ and $$x-1<3$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

-4

-2

11

-3

4

2

Drag and Drop

$$x\ -2>-8$$ and $$x+4<8$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

4

-10

-9

-6

12

2

-4

Drag and Drop

$$4+x\ge5$$ and $$-2+x<7$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

8

1

12

2

-4

9

Drag and Drop

$$2x\ge4$$ and $$2x\le12$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

8

1

24

2

-4

6

Drag and Drop

$$3x>-9$$ and $$\frac{x}{4}<2$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

8

-3

-12

7

3

-27

Drag and Drop

$$-2x\le4$$ and $$6x<12$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

24

2

-4

6

-8

Drag and Drop

$$-\frac{x}{5}<5$$ and $$-\frac{x}{2}>3$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

-6

-1

10

-25

TWO STEPS

Drag and Drop

$$2x+5>1$$ and $$\frac{x}{3}-3\le2$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

15

-2

-12

-8

-3

12

Drag and Drop

$$\frac{x}{3}-6>-10$$ and $$\frac{x}{5}-1\le0$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

5

-7

-12

0

-5

12

Drag and Drop

$$-4x-1>-17$$ and $$\frac{x}{6}-2>-5$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

4

18

-18

0

-4

12

Drag and Drop

$$-\frac{x}{3}-4\le-1$$ and $$-\frac{x}{2}+5>1$$

Write the interval of x:

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Drag these tiles and drop them in the correct blank above

x

-10

-9

0

9

12

8