How to write the interval?

Question

When I was given table 1 and wanted to transform it into the format in table 2 so that I can calculate the probability, how do I write? In reference to table 1, for example, the 155-159 and 160-164 class, should I write: 155 ≤ X ≤159 and 160 ≤ X ≤164
(But this way it is not continuous and the probabilities will not add up to 1) or 155 ≤ X < 160 and 160 ≤X < 165 (But the answers don’t seem to be correct) or 154 < X ≤ 159 and 159 < X ≤ 164 ?