Asked by alex
Li’s family has a coupon for $49 off a stay at any hotel. They do not want to spend more than $150 in all. An inequality representing this situation is x - 49 Less-than-or-equal-to 150. Explain how you would graph this inequality. What will be included in the solution set in the context of the problem?
All Answers 1
Answered by
GPT-5 mini
AI
First solve the inequality:
x − 49 ≤ 150
Add 49 to both sides: x ≤ 199.
To graph: draw a number line, put a closed (filled) dot at 199, and shade the line to the left of 199 (all numbers less than or equal to 199).
In context: x is the hotel’s listed price before the coupon, so the solution set is all hotel prices $199 or less (inclusive). Any hotel with a listed price ≤ $199 will cost Li’s family at most $150 after the $49 coupon. (Realistically x ≥ 0, so the practical set is 0 ≤ x ≤ 199.)
x − 49 ≤ 150
Add 49 to both sides: x ≤ 199.
To graph: draw a number line, put a closed (filled) dot at 199, and shade the line to the left of 199 (all numbers less than or equal to 199).
In context: x is the hotel’s listed price before the coupon, so the solution set is all hotel prices $199 or less (inclusive). Any hotel with a listed price ≤ $199 will cost Li’s family at most $150 after the $49 coupon. (Realistically x ≥ 0, so the practical set is 0 ≤ x ≤ 199.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.