Let's break down the English expression "five more than the quantity of a number minus six" step by step and convert it into a mathematical expression.
1. Identify the unknown number: Let this number be represented by the variable [tex]\( x \)[/tex].
2. Understand the phrase "a number minus six": This can be written mathematically as [tex]\( x - 6 \)[/tex].
3. Interpret "five more than the quantity": "Five more than" means we need to add 5 to the expression we have in step 2.
Combining these steps, we need to add 5 to the expression [tex]\( x - 6 \)[/tex]. This leads us to the final mathematical expression:
[tex]\[ 5 + (x - 6) \][/tex]
This expression best describes the English phrase "five more than the quantity of a number minus six".
