Question

for one photography session, dexter earns no less than $50, but no more than $100. which inequality can be used to represent his earnings, e?
○ $e \geq 50$ or $e \leq 100$
○ $e > 50$ or $e < 100$
○ $50 < e < 100$
○ $50 \leq e \leq 100$

Explanation:

Step1: Analyze "no less than $50"

"No less than" means his earnings \( e \) is greater than or equal to 50, so \( e \geq 50 \).

Step2: Analyze "no more than $100"

"No more than" means his earnings \( e \) is less than or equal to 100, so \( e \leq 100 \).

Step3: Combine the inequalities

Combining \( e \geq 50 \) and \( e \leq 100 \), we get \( 50 \leq e \leq 100 \).

Answer:

\( 50 \leq e \leq 100 \) (corresponding to the last option)