3. T12 Solving Inequalities with Graphs

​Solving Inequalities with Graphs- Page 6

Math Response

Page 6 #3

The equation $$x\left(15-x\right)=50$$  represents a kennel with an area of exactly 50 meters.

How can we change this equation to represent an area of at least 50 meters?

Type answer here

Correct Answer: x\left(15-x\right)\ge50

Deg^°

Rad

Match

Page 7 #5

Interpret the points below in the context of the problem. Say if they are part of the solution set or not.

(5, 50)

• The width is ___

• The length is ___

• The area is ___

5

10

50

• 5

• 10

• 50

Match

Page 7 #5

Interpret the points below in the context of the problem. Say if they are part of the solution set or not.

(10, 50)

• The width is ___

• The length is ___

• The area is ___

10

5

50

• 10

• 5

• 50

Match

Page 7 #5

Interpret the points below in the context of the problem. Say if they are part of the solution set or not.

(2, 26)

• The width is ___

• The length is ___

• The area is ___

2

13

26

• 2

• 13

• 26

Match

Page 7 #5

Interpret the points below in the context of the problem. Say if they are part of the solution set or not.

(6, 54)

• The width is ___

• The length is ___

• The area is ___

6

9

54

• 6

• 9

• 54

Match

Page 7 #5

Interpret the points below in the context of the problem. Say if they are part of the solution set or not.

(12, 36)

• The width is ___

• The length is ___

• The area is ___

12

3

36

• 12

• 3

• 36

Fill in the Blank

The width and length are between ___________

Your answer should be two numbers.

Multiple Choice

Page 7 #7

The graph shows the solution set of the graph. Which is the correct solution.

• x is between 5 and 10

  $$5\le x\le10$$

• x is between 5 and 10

  $$5\ge x\ge10$$

• x is between 5 and 10

  $$x\ge5$$ , $$x\ge10$$

• x is between 5 and 10

  $$x\le5$$ , $$x\le10$$