Given the equations: (i) a³ − 988 = 343 and (ii) b² − 72 = 49, determine the correct relationship between the values of a and b.

Explanation

From the first equation, a³ − 988 = 343 implies a³ = 1331, so a = 11. From the second equation, b² − 72 = 49 leads to b² = 121, giving b = ±11. Therefore, since a = 11 and b can be either 11 or -11, the correct relation is a ≥ b.