Special Case Inequalities

Inequality Special Cases

Special Case #1

At your desk, work out this compound inequality. What do you notice about the graph?

Dropdown

Since the whole number line was covered by an "or" statement, this tells you that the solution is​​

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Special Case #2

At your desk, work out this compound inequality. What do you notice about the graph?

Dropdown

Since there is no overlapping happening with the "and" statement, this tells you the solution is ​

Select answer

​

Special Case #3

At your desk, work out this compound inequality. What do you notice about the graph?

Multiple Choice

There is overlapping with this "and" statement. However, it does not look normal. What is the correct inequality you would write for this compound statement?

• x ≥ -5

• x ≥ 4

• -5 ≤ x ≤ 4

• No Solution

Special Case #4

Give an example of an absolute value inequality that will give you "no solution" versus "infinite solutions