Question

Jordan takes a

900-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least
19800 and less than
41400 miles each year. How many times would Jordan need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answer 1

The solution is the interval [23,46)

Explanation:

Let

x ----> the number of times that Jordan would need to visit his parents each year to attain Gold status

we know that

`900x\geq 19,800` -----> inequality A

`900x < 41,400` ----> inequality B

Remember that "at least" means, "greater than or equal to"

Solve inequality A

`900x\geq 19,800`

Divide by 900 both sides

`x\geq 22\ times`

Solve inequality B

`900x < 41,400`

Divide by 900 both sides

`x < 46\ times`

The solution of the compound inequality is the interval

[23,46)

All real numbers greater than or equal to 23 and less than 46