Question

ricky has 142 vinyl records in his collection. he will collect 12 new records every year. ricky collects records for x years. for what values of x will ricky have at least 250 vinyl records?

Explanation:

Step1: Formulate the inequality

The initial number of records is 142, and he collects 12 per year for \( x \) years. The total number of records is \( 142 + 12x \). We want this to be at least 250, so the inequality is \( 142 + 12x \geq 250 \).

Step2: Solve for \( x \)

Subtract 142 from both sides: \( 12x \geq 250 - 142 \). Calculate \( 250 - 142 = 108 \), so \( 12x \geq 108 \). Then divide both sides by 12: \( x \geq \frac{108}{12} = 9 \).

Answer:

\( x \geq 9 \) (or \( x \) is greater than or equal to 9)