This lesson shows how bash scripts compare integers using operators like -eq, -ne, -gt, -lt, -ge, and -le. The script sets two variables a and b, then uses an if statement with [ $a -gt $b ] to check if a is greater than b. If true, it prints 'a is greater'; otherwise, it prints 'a is not greater'. The execution table traces the condition evaluation and branch taken. Key points include using -gt instead of > for integers, square brackets for test, and ensuring variables hold integers. The visual quiz tests understanding of condition results, branch decisions, and output changes if variables change.