Inequalities and the Technology Gap Quiz

What does an inequality show?

That two sides are exactly equal

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That one side is greater or less than the other

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That numbers are always the same

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That math cannot compare two sides

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If a school has 400 students and 250 devices, which inequality shows how many more laptops are needed?

250 + x = 400

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250 + x ≤ 400

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250 + x ≥ 400

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400 + x ≥ 250

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What does the symbol ≥ mean?

Greater than only

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Less than or equal to

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Greater than or equal to

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Equal only

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What does the equation “300 + x ≥ 500 → x ≥ 200” mean?

The school has more devices than students

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The school needs at least 200 more devices

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The school has 500 devices already

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The school has no devices

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If a school already has 300 devices and needs at least 500, how many more do they need?

150

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200

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250

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100

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Which school has the largest technology gap?

School	Students	Devices	Inequality
A	500	300	300 + x ≥ 500
B	350	250	250 + x ≥ 350
C	600	400	400 + x ≥ 600
D	450	300	300 + x ≥ 450

School A

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School B

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School C

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Schools A and C

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Why is solving inequalities useful for schools?

It helps them see where they need more resources

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It helps them make harder math problems

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It makes devices cost less

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It helps students play games

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Why do we use ≥ in “250 + x ≥ 400”?

Because schools can have fewer devices than students

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Because schools should have at least as many devices as students

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Because we want to make math harder

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Because it looks more fun

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Explain in your own words how math can help schools plan for digital fairness.

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

Write an inequality to show how many more devices are needed, and explain what your solution means.

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

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