Why doesn't the sun's gravitational pull on the moon cause it to be pulled away from the Earth?

Well, honey, let me break it down for you. The gravitational pull of the sun does actually have a slight effect on the moon, but lucky for us, the Earth's own gravitational pull is a lot stronger than the sun's when it comes to the moon. So, the moon stays faithful to Earth like a loyal best friend, not getting pulled away by some fiery flirt like the sun.