To understand the statement, let’s define the variable. Let the number be represented by x. The phrase “the product of a number and 8” translates mathematically to 8x.
The term “at least 25” means that the product must be greater than or equal to 25. Therefore, we can write the inequality as:
8x ≥ 25
Now, to solve for x, we need to divide both sides of the inequality by 8:
x ≥ 25/8
Calculating 25/8 gives us 3.125. Therefore, we conclude that:
x ≥ 3.125
This means that any number x that is 3.125 or greater will satisfy the condition that the product of the number and 8 is at least 25.