ALGEBRA 1                                                     Name
3-6 PRACTICE WORKSHEET                                        Date
For each statement, write a compound inequality and graph the solution.
1. All real numbers that are less than -3 or greater than or equal to 5.
2. A certain recipe calls for a cake to bake between 25 and 30 minutes inclusive.
Using “x” as the variable, write each interval as a compound inequality. Then graph the
interval.
3. ( −2, 3]                                           4. [ 5, ∞)
Write the compound inequality and interval notation represented by each graph.
5.
6.
                    )          (
7.
8.            (                ]
Solve each compound inequality, and write the solution in interval notation.
Then graph the solution. Be sure to state “and” or “or” in the solution.
9.    5 < 𝑚 − 2 < 11
10.    5 −𝑥 > 4         𝑜𝑟 7𝑥 ≥ 35
                4 + 𝑘
11.     −1 <            < 2
                 3
            2                 1
12.    5 − 3 𝑛 ≥ 7 𝑜𝑟             𝑛 − 4 ≥ −3
                              4