Given that:
The company uses its cargo vans to deliver packages to locations at a 75-mile radius from the warehouse.
If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.
To find: The inequality to represent the instances when a vehicle other than a cargo van is used.
Solution:
Let x is the distance of a location from the warehouse.
Cargo van will be used if delivery location is within 8 miles of the delivery boundary.
Minimum distance for delivery = 75-8 = 67 miles.
Maximum distance for delivery = 75+8 = 83 miles.
So, the company uses cargo vans for any distance in the range 67 miles to 83 miles. So,
[tex]67\leq x\leq 83[/tex]
Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].
