Question

7 x B is less than 14, but greater than 7

Answer 1

7 < 7B < 14

Explanation:

The equation 7 x B represents a product of two factors, where B is one of the factors. The equation states that the value of this product is between 7 and 14, exclusive. Therefore, B must be a fractional value between 1 and 2. Specifically, B could be any value between 1 and (2/7), exclusive, since any value greater than (2/7) would result in a product greater than 14, and any value less than 1 would result in a product less than 7, This will be represented as 7 < 7B < 14

Answer 2

If 7 times B is less than 14 but greater than 7, then we can represent this inequality as:

7 < 7B < 14

To solve for B, we can divide all parts of the inequality by 7:

1 < B < 2

Therefore, B must be greater than 1 but less than 2.