No, inertia is trying to keep the moon moving in a straight line, which would be away from Earth. Gravity is pulling the moon towards Earth. The result when these two forces are combined is the moon maintaining a constant orbit of Earth.
No, the Earth's gravity pulls the moon in towards Earth.
The moon has inertia and wants to keep going in a straight line but the earth has a larger gravitational pull and wants to pull the moon towards it. This causes the moon to circle or orbit the earth.
The balance between the inertia of the Moon and the gravitational pull keeps the moon in orbit with Earth.
The Earth's gravity is trying to pull the Moon towards the Earth. However, the Moon has inertia. It is trying to move in a straight line. If the Moon had no "sideways" velocity it would fall onto the Earth. In fact the Earth's gravity is needed just to bend the direction of the Moon's path and make the Moon orbit the Earth instead of flying off into space. This becomes clear if you do the mathematics, but that's the basic idea.
The gravitational pull of the earth. Gravity from the Earth pulls the moon towards it.
The tides are caused by the moon's gravitational pull. The moon pulls the water towards it. The moon also pulls the earth towards it, but just a bit less, so there is a bulge(the tide) in the Earth's ocean's on the side nearest the moon and on the side farthest from the moon.
The Earth's gravity pulls the Moon towards it and its center.
The tides are caused by the moon's gravitational pull. The moon pulls the water towards it. The moon also pulls the earth towards it, but just a bit less, so there is a bulge(the tide) in the Earth's ocean's on the side nearest the moon and on the side farthest from the moon.
The earth by its gravitational pull keeps the moon in its orbit. The earths gravitational pull and the Moon's inertia creates a force called the centripetal force which keeps the Moon in orbit.
Although gravity is pulling it in, inertia is "pulling it out". Thus, both forces cancel, and we are left with a moon in orbit.
Tides
The moon is falling, but since the Earth's gravitational pull is constantly acting on it, the moon keeps falling but it is moving towards the Earth so it move in an egg shaped motion.