Final answer:
Without intermolecular forces, matter would predominantly exist in the gaseous state where particles move freely and are far apart. A substance with strong intermolecular forces and a high melting point that is not easily compressed would be a solid.
Step-by-step explanation:
If there were no intermolecular forces, the predominant state of matter would be the gas state. In this state, particles are far apart and have negligible interactions due to the great distance between them. A substance that has relatively strong intermolecular forces, a high melting point, and is not easily compressed will typically be in a solid state. The intermolecular forces in a solid hold the particles closely, limiting their motion to small vibrations around fixed positions. This results in a state of matter that has a definite shape and volume, and is characterized by its rigidity and lack of compressibility.