Question

write inequalities to represent the situations below.
to get the 10% discount, a shopper must spend no less than $200.
use d to represent the spending (in dollars) of a shopper who gets the discount.

to be eligible for financial aid, a student must earn less than $25,000 per year.
use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.

inequality symbols and reset/cancel buttons on the right

Explanation:

Step1: Analyze the first situation

The shopper must spend no less than $200 to get the discount. "No less than" means greater than or equal to. So if \( d \) is the spending, the inequality is \( d \geq 200 \).

Step2: Analyze the second situation

The student must earn less than $25,000 for financial aid. "Less than" means the earnings \( s \) is less than 25000, so the inequality is \( s < 25000 \).

Answer:

First inequality: \( d \geq 200 \)
Second inequality: \( s < 25000 \)