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Create an Inequality, Given a Solution Set

Directions: Write an inequality whose solution set is x < -1/2 by filling in the boxes with whole numbers 0 through 9, using each number at most once.

Hint

Hint

What does it mean to have a solution set in an inequality? How can you use the solution set “border number” to help you write an inequality?

Answer

Answer

There are many correct answers. Some possible responses could be:
2x + 5 > 4x + 6;
1x + 5 > 7x + 8;
9x + 6 < 5x + 4

Source: Daniel Luevanos

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4 comments

  1. I love this question. I’ve been wondering what to call the “border number.” I’ve been calling it a “limit.” What are your thoughts on that?

    • Glad you like the question, Lane! I usually refer to the “border number” or “limit” as the “boundary point.” I never thought about using “limit” as part of my discussion with students, but now I’m going to. Thanks!

  2. My students also came up with these solutions:

    1x + 4 > 3x + 5
    1x + 5 > 3x + 6
    1x + 7 > 3x + 8
    1x + 8 > 3x + 9
    5x + 8 > 7x + 9
    2x + 5 > 4x + 6
    4x + 8 > 6x + 9

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