"Write down an irrational number that satisfies this inequality."

Answer:sqrt(26)Step-by-step explanation:Irrational numbers can be the square root of any non-perfect square number.there are many between 4 and 7for instance sqrt(26), and we cant actually write out a value, we have to write sqrt of 26, or like 2pi, because the decimals go forever, we cant express that, but what makes them unique is that the decimals don't ever repeat. we can express 7.7777... as 7 with a bar on top, but you cant really express pi, while still being perfectly precise.