Keywords for Inequalities
Which inequality symbol is represented by the following keywords:
Older, Faster, More, Larger
>
A school is selling student tickets for $5 and adult tickets for $8. The school wants to collect at least $400 from ticket sales.The inequality is:
5x+8y≥400
What does x represent?
The number of student tickets
Is the following a solution or non solution to 5x+10y≥200
(10, 5)
Non solution
The student council is selling student tickets for $5 and adult tickets for $8. They want to raise at least $400.
Let x = number of student tickets sold
Let y = number of adult tickets sold
Write a two-variable linear inequality that represents this situation.
5x+8y≥400
Where on a graph would you find a non solution?
In the non shaded region
Which inequality symbol is represented by the following keywords:
Smaller, Less, Colder, Lighter
<
The softball team sells T-shirts for $12 and hats for $8. They want to raise more than $600. The inequality is:
12x+8y>600
What do 12 and 8 represent?
12 represents the price of T-shirts and 8 represents the price of hats.
Is the following a solution or non solution to 3x+2y≤50?
(12, 8)
Solution
A school is purchasing pizzas and drinks for a movie night. Each pizza costs $12, and each drink costs $3. The school has no more than $150 to spend.
Write an inequality for the situation
12x+3y≤150
Which symbols will the line be dotted?
< or >
Which inequality symbol is represented by the following keywords:
At most, no more than, maximum
≤
A student is packing a suitcase. Shirts weigh 2 pounds each, and pairs of shoes weigh 4 pounds each. The suitcase can hold no more than 40 pounds. The inequality is:
2x+4y≤40
What does x and y represent?
x represents shirts and y represents shoes
Is the following a solution or non solution to x+y≥30?
(15, 15)
Solution
The softball team wants to make more than $500.The team is selling T-shirts for $15 each and hats for $10 each.
Write an inequality for the situation
15x+10y>500
Which symbols will the line be solid?
≥ or ≤
Which inequality symbol is represented by the following keywords:
At least, no less than, minimum
≥
A movie theater has 200 seats. Adult tickets and student tickets are sold for each showing. The number of adult tickets xx and student tickets yy sold cannot be greater than 200. The inequality is:
x+y≤200
What does 200 represent?
the number of seats in the movie theater
A fundraiser sells bracelets for $4 and keychains for $3. The team wants to raise more than $60.The inequality is: 4x+3y>60
Is selling 12 bracelets and 3 keychains going to be enough for a solution?
No, it will not.
A school is taking students on a field trip. Girls and boys will be on separate buses. Each bus can hold at most 50 people.
Write an inequality for the amount of students the buses can take in total.
x+y≤100
If a point is on a dotted line, will it be a solution? Why or why not
No, because it can not be included.
What are two others that signal addition?
total, together, overall, etc.
Granola bars cost $2 each, and fruit cups cost $3 each. The inequality is:
2x+3y≤50
What does the ≤50 represent
They can only spend $50 or less.
Is (2, 8) a solution to the following system? Explain
40x+15y>300
6x+8y≤90
No it is not because it has to be in the area where BOTH colors are shaded.
A teacher has $200 to spend on classroom supplies. Packs of pencils cost $4 each, and packs of paper cost $8 each. The teacher cannot spend more than the available budget.
Write an inequality for the budget of the teacher.
4x+8y≤200
How can you tell that a point is a solution to a system of inequalities?
The point must land in BOTH shaded areas (The point of intersection)