Step: 1

Let r be the rank of Jason in his class.

Step: 2

He is ranked above 3. So, 3 < r .

Step: 3

His rank is below 6. So, r < 6.

Step: 4

Combining the two inequalities, 3 < r < 6.

Correct Answer is : 3 < r < 6

Step: 1

Let d be the number of days the trip takes.

Step: 2

Wilma might be on tour for 11 to 15 days. So, 11 and 15 are also included.

Step: 3

Among the choices, the inequality that best describes the number of days of trip is 11 ≤ d ≤ 15.

Correct Answer is : 11 ≤ d ≤ 15

Step: 1

Let r be Chris's rank.

Step: 2

He is ranked above 5, 5 < r .

Step: 3

He can be ranked up to 10, r ≤ 10.

Step: 4

His rank lies between 5 < r ≤ 10.

Correct Answer is : 5 < r ≤ 10

Step: 1

Let h be the height of the wall.

Step: 2

The height is above 3 feet. So, 3 < h .

Step: 3

The height of the wall is less than 6 feet. So, h < 6.

Step: 4

Among the choices, the inequality that best describes the height of the wall is 3 < h < 6.

Correct Answer is : 3 < h < 6

Step: 1

Let d be the distance Arthur runs.

Step: 2

He runs more than 5 miles, 5 < d .

Step: 3

He runs less than 8 miles, d < 8.

Step: 4

The distance he runs is between 5 miles and 8 miles, 5 < d < 8.

Correct Answer is : 5 < d < 8

Step: 1

The heights of giant trees in rainforests are no less than 40 m.

Step: 2

The inequality that describes the statement is h ≥ 40.

[The heights of giant trees in rainforests are greater than or equal to 40 m.]

Correct Answer is : h ≥ 40

Step: 1

An elephant drinks not more than 60 gal of water per day.

Step: 2

An elephant drinks less than or equal to 60 gal of water per day.

Step: 3

The inequality that describes the statement is w ≤ 60.

Correct Answer is : w ≤ 60

Step: 1

The maximum length of a black dogfish is 2 ft.

Step: 2

The length of a black dogfish is less than or equal to 2 ft.

Step: 3

The inequality that describes the length of a black dogfish is l ≤ 2.

Correct Answer is : l ≤ 2

Step: 1

The situation says that the price of a ball should not be more than $2.

Step: 2

Let the price of a ball be x .

Step: 3

The inequality that represents the situation is x ≤ 2.

[Price of a ball should be less than or equal to $2.]

Correct Answer is : x ≤ 2

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- Inequality