Mai thinks of a secret number. She says that her secret number is more than 11 units away from 50. Write an absolute- value inequality that gives the possible values of Mai's number.

Given:

Secret number is more than 11 units away from 50.

To find:

The absolute- value inequality that gives the possible values of Mai's number.

Solution:

Let the secret number be x.

Secret number is more than 11 units away from 50. It may be less than 50 or more than 50.

Case 1: If x<50, then

Case 2: If x>50, then

It means the absolute difference between secret number and 50 is greater than 11.

Therefore, the required inequality is .

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m