Question

1. the mass of a basketball in the nba is greater than or equal to 580 grams and less than or equal to 620 grams. represent this scenario as a compound inequality. 580 < x < 620 580 ≤ x ≤ 620 x < 580 or x > 620 580 ≤ x < 620

Explanation:

Step1: Define the variable

Let \( x \) represent the mass of the basketball in grams.

Step2: Translate "greater than or equal to 580"

This translates to \( x \geq 580 \) or equivalently \( 580 \leq x \).

Step3: Translate "less than or equal to 620"

This translates to \( x \leq 620 \).

Step4: Combine the inequalities

Combining these two inequalities gives the compound inequality \( 580 \leq x \leq 620 \).

Answer:

B. \( 580 \leq x \leq 620 \)