Question

while at a craft fair, colleen found a stand selling bars of handmade soap for $3 each. she liked so many of the different scents that she went over her $18 budget. let x represent how many bars of soap colleen bought. which inequality describes the problem? 3x > 18 3x ≥ 18 solve the inequality. then, complete the sentence to describe the solution. colleen bought more than bars of soap.

Explanation:

Part 1: Choosing the Inequality

Step1: Analyze the cost

Each soap bar costs $3, and \( x \) is the number of bars. So the total cost is \( 3x \).

Step2: Compare to budget

Colleen went over her $18 budget, meaning the total cost \( 3x \) is greater than 18. So the inequality is \( 3x > 18 \).

Step1: Isolate \( x \)

To solve \( 3x > 18 \), divide both sides by 3.
\( \frac{3x}{3} > \frac{18}{3} \)

Step2: Simplify

Simplifying gives \( x > 6 \).

Answer:

\( 3x > 18 \)

Part 2: Solving the Inequality