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# 1. (10 PTS) CONSIDER THE INTERVAL [0, ∞). FOR EACH NUMERICAL VALUE BELOW

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Author: Joyce Buda
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1. (10 pts) Consider the interval [0, ∞). For each numerical value below, is it in the interval or not?(Just answer Yes or No)_______(Yes or No)− 5.5 ×10 9 _______(Yes or No)3 – 7 _______(Yes or No)– 2 4 _______| –2.3 | _______(Yes or No)2. (4 pts) Write the interval notation corresponding to the set notation {x | x ≤ 5}.3. (7 pts) Perform the indicated operations and simplify:(4 −1 − 6 −1) −2 .Show work. × 4. (8 pts) Perform the indicated operations and simplify:Note: × is a multiplication symbol here, not a variable.× Show work.(Yes or No)8/14 OL15. (8 pts) Solve the absolute value inequality |8x – 3| ≤ 13. Show work. Write interval notationfor the solution set.6. (8 pts) Solve the absolute value inequality |9 – 4x| ≥ 21. Show work. Write interval notationfor the solution set.7. (9 pts) Simplify: √500 − √45 + √80 Show work. Give the exact answer (including a radical).8/14 OL18. (10 pts) Factor. (Work not required to be shown).(a)36x2 – 49(b)14x2 – 3x – 59. (12 pts) Perform the indicated operations and simplify to get a polynomial:(6x – 5)2 – (8x + 1)(3x + 2)Show work.10. (8 pts) Solve the equationx(x − 3) = 4(x + 2). Show work.8/14 OL111. (8 pts) Solve the equation 3(6 – x) = 6 – 9(x + 8). Show work.12. (8 pts) Simplify: − . Show work.

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