Final answer:
To find two consecutive whole numbers that 80 lies between, we can use the inequality x < 80 < x+1. By solving this inequality, we find that the two consecutive whole numbers are 79 and 80.
Step-by-step explanation:
To find two consecutive whole numbers that 80 lies between, we can start by assuming the smaller number is one less than the larger number. Let's call the smaller number x and the larger number x+1. So we have the inequality x < 80 < x+1. To solve this inequality, we can subtract x from all sides: x - x < 80 - x < x+1 - x. This simplifies to 0 < 80 - x < 1. Since we are looking for whole numbers, the solution is 0 < 80 - x < 1, which means 0 < 80 - x and 80 - x < 1. Solving this, we get x < 80 and 79 < x+1. The greatest whole number less than 80 is 79, so x must be less than 79. Similarly, the smallest whole number greater than 79 is 80, so x+1 must be greater than 80. Therefore, the two consecutive whole numbers that 80 lies between are 79 and 80.
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