Answer:
We can start by using algebra to represent the sentence "28 is less than 12 more than 8 times a number." Let's use "x" to represent the unknown number:
28 < 12 + 8x
Simplifying the right-hand side:
28 < 12 + 8x
28 < 12 + 8x
16 < 8x
Dividing both sides by 8:
2 < x
Therefore, we can say that any number greater than 2 would satisfy the original statement. For example, if we choose x = 3, we can plug it into the original equation to verify:
28 < 12 + 8(3)
28 < 12 + 24
28 < 36
Since 28 is indeed less than 36, our solution checks out.
Explanation: