Wireless is a term used to refer generally to all means of communication that use electromagnetic waves. Examples of this include satellites, TV, GPS, and radios. Moreover, many people actually refer to Wi-Fi as wireless. That is not so wrong. Wireless is commonly used to connect a device such as a computer or a phone to a network, whereas Bluetooth is usually used to create a platform for connection between two devices such as your phones, computers, and some headset as well.
Nevertheless, Bluetooth works within a short-range, like few meters between two devices, basically. Conversely, wireless functions on a longer range than Bluetooth, depending on the strength of the source and network most times. Wireless can also be used among more than two users.
For wireless to function well, it needs to be fast, which basically depends on the strength of the network source; whereas Bluetooth does not have any requirement of such, you may just only need to bring the two devices closer.