Question

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?

Answer 1

the inequality is

$x-49\le150$

we have in the right side and horizontal line at y =150 in the left side we have a line y=x-49

If we graph the two lines we will obtain

where the shadded area is the area

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