Question

A rock weighs more than 7 pounds but no more than 10 pounds. Which of the following cannot possibly be the weight of the rock?

• A. 8 pounds
• B. 9 pounds
• C. 10 pounds
• D. 7 pounds

Answer 1

The correct option is D 7 pounds

Let the weight of the rock be $x$ pounds.

Since the rock weighs more than 7 pounds, we have:

$x>7---\left(1\right)$

Since the rock weighs no more than 10 pounds, its weight is at most 10 pounds.

i.e., $x\le 10---\left(2\right)$

Combining $\left(1\right)$ and $\left(2\right),$ we have:

$7<x\le 10$


$\therefore$ Possible values of $x$: 8, 9, 10

$\therefore$ 7 pounds is the incorrect option.