To determine the inequality that represents how many silver chains (s) and gold chains (g) Phillip must sell to make more than \[tex]$300, let's break down the problem step-by-step.
1. Identify the individual prices of the items:
- Phillip sells each silver chain for \$[/tex]18.
- Phillip sells each gold chain for \[tex]$42.
2. Formulate the expression for the total sales value:
- The total revenue from selling \( s \) silver chains is \( 18s \) dollars.
- The total revenue from selling \( g \) gold chains is \( 42g \) dollars.
3. Combine the expressions:
- The combined revenue from selling both silver chains and gold chains can be expressed as \( 18s + 42g \).
4. Compare the combined revenue to the desired amount:
- Phillip wants to sell more than \$[/tex]300 worth of chains. So, we need to set this total revenue greater than 300.
5. Construct the inequality:
- The inequality will be [tex]\( 18s + 42g > 300 \)[/tex].
So, combining all the steps together, we conclude that the inequality representing how many silver chains and gold chains Phillip must sell to exceed \$300 in sales is:
[tex]\[ 18s + 42g > 300 \][/tex]
Therefore, the correct inequality is:
1. [tex]\( 18s + 42g > 300 \)[/tex].
