Answer:
The claim is false and can be refuted
Explanation:
1) This claim is false, that there is summer when Earth is closest to the sun and winter when the Earth is farthest from the sun.
If it is so, than why seasons are Opposite in two hemispheres. It is summer in the Northern Hemisphere, when it is winter in the southern hemisphere. Alternatively it is Winter in the northern hemisphere, while it is summer in the southern hemisphere.
If the seasons occured due to the distance from, sun, then it should be same season in both the hemispheres, when Earth is farthest and closest from the Sun. Why are seasons different in both hemispheres. So this claim is false.
2) This claim is false, because actually Earth is closest to the Sun on January 3-4, when it is Winter in Northern Hemisphere and summer in Southern hemisphere. So why it is not Summer in both hemispheres, since the Earth is closest to the Sun.
Earth is farthest from the Sun on July 4, which is actually summer in Northern Hemisphere and winter in Southern hemisphere. So why is it not winter in both the hemispheres, since the Earth is Farthest from the Sun.
Hence based on these two arguments, the claim is false and can be refuted.