Define and identify solutions to inequalities.
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Lessons 8–11 address one-variable inequalities. Students have prior experience reading and interpreting inequality comparisons from Unit 4 when they compared rational numbers.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from discussion) and Anchor Problem 2 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
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An inequality and an equation are shown below.
$${8x=32}$$ $${8x>32}$$
Which value in the set of numbers {4, 4½, 5} is a solution to the equation?
Which values in the set of numbers {4, 4½, 5} are a solution to the inequality?
In which set of numbers are all of the values solutions to the inequality $${ 1.3x-2<7}$$?
Isabel is moving her office to a new location. She has a box that can hold up to 40 pounds, and she has already put 18 ½ pounds in the box. Isabel has several books that each weigh 3 pounds that she also wants to put in the box.
The inequality $${3x+18{1\over2}≤40}$$, where $$x$$ represents the number of books, can be used to determine how many books Isabel can put in the box without it breaking.
Which of the following number of books can Isabel put in the box without it breaking? Select all that apply.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Which of the following values are solutions to the inequality $${ 5x-8≥42}$$ ? Select all that apply.
How is the inequality $${5x-8≥42}$$ different from the equation $${5x-8=42}$$?
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