Ineed to get this done before
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 - ≤ 150. explain how you would graph this inequality. what will be included in the solution set in the context of the problem?

The solution set includes all numbers less than or equal to 199. I would draw a closed circle at 199 and draw an arrow pointing to the left. In the context of the problem, only money values greater than or equal to 0 make sense.

Here, x represents the money spent by them,

Since, they have already a coupon of $ 49 off,

Thus, their total spending = x - 49

According to the question,

They do not want to spend more than $150 in all.

⇒ x - 49 ≤ 150,

⇒ x ≤ 150 + 49

⇒ x ≤ 199

Since, spending must be greater than equal to 0,

⇒ 0 ≤ x ≤ 199

Thus, the solution set in the context of the problem is [0, 199]

Hence, we can graph the given inequality by plotting [0, 199] on the number line. ( shown below )

idk you tell me kid.

Step-by-step explanation: