The range of rental car rates that would be cheaper for Jamal than the taxi service is given by, A ={x| 0 ≤ x < 26} [where x is in dollar]
Let, the car rental rate be $ x per day . Jamal's trip will last for 4 day. He expects to pay $ 24 for gas (if he rents the car) He expects a taxi service would cost about $ 128 So, for the rental car option to be cheaper than the taxi option, the following inequality must follow, 128 > 24 + 4x ⇒ 4x < 104 ⇒ x < 26 So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by, A ={x| 0 ≤ x < 26} [where x is in dollar]