Question

Match each written statement on the left with the correct algebraic statement on the right.

a) x is less than -8.

Answer 1

The written statement 'x is less than -8' is correctly matched with the algebraic statement 'x < -8'.

Step-by-step explanation:

To match the written statement 'x is less than -8' with the correct algebraic statement, we look for an expression that shows that x has a value that is smaller than -8. The algebraic way to represent this is x < -8.

Steps to Match the Statement

1. Read the written statement carefully.
2. Identify the key words in the statement that indicate the algebraic relationship. In this case, 'is less than' indicates an inequality where the value of x is smaller than another number.
3. Translate the written statement into an algebraic form using the correct mathematical symbols.
4. Match the algebraic form with the given options. Here, the symbol < (less than) is the correct symbol to use.

Therefore, the algebraic representation of 'x is less than -8' is x < -8.