2 less than a number is more than 8

Answer 1

To translate the statement "2 less than a number is more than 8" into a mathematical inequality, we can let \( x \) represent the unknown number. The phrase "2 less than a number" can be expressed as \( x - 2 \). The phrase "is more than 8" can be represented as \( > 8 \).

Putting it all together, we have the inequality:

\[ x - 2 > 8 \]

To solve for \( x \), we can add 2 to both sides:

\[ x > 10 \]

Therefore, the solution is that the number \( x \) must be greater than 10.