Question

(Don't do the graph part) APPLY, ANALYZE AND EVALUATE. In problems 6 and 7, write and graph an inequality describing each statement. (2 points each)

Every item in the store costs a dollar or less. Use the variable c.

The population of China is at least 1,000,000, 000 people.

Answer 1

6) Every item in the store costs a dollar or less. Use the variable c.

To write an inequality describing this statement, we can use the inequality symbol "<=" which represents "less than or equal to."

Let's use the variable c to represent the cost of an item in the store.

The inequality can be written as:

c <= 1

This means that the cost of every item (c) in the store is less than or equal to $1.

To graph this inequality, we can draw a number line and mark a closed circle at 1 to represent that $1 is included in the solution set. Then, shade the area to the left of 1 to indicate all the possible values of c that satisfy the inequality.

7) The population of China is at least 1,000,000,000 people.

To write an inequality describing this statement, we can use the inequality symbol ">=" which represents "greater than or equal to."

Let's use the variable p to represent the population of China.

The inequality can be written as:

p >= 1,000,000,000

This means that the population of China (p) is greater than or equal to 1,000,000,000 people.

Since we cannot graph a population on a number line due to its magnitude, we can state that the solution set includes all values greater than or equal to 1,000,000,000.

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6) Every item in the store costs a dollar or less. Use the variable c.

To write an inequality describing this statement, we can use the inequality symbol "<=" which represents "less than or equal to."

Let's use the variable c to represent the cost of an item in the store.

The inequality can be written as:

c <= 1

This means that the cost of every item (c) in the store is less than or equal to $1.

7) The population of China is at least 1,000,000,000 people.

To write an inequality describing this statement, we can use the inequality symbol ">=" which represents "greater than or equal to."

Let's use the variable p to represent the population of China.

The inequality can be written as:

p >= 1,000,000,000

This means that the population of China (p) is greater than or equal to 1,000,000,000 people.

alli <3