1. Question on Assignment?
#44b. red 24.35≤𝑥≤24.49 Blue 24.17≤𝑥≤24.67 Green 23.92≤𝑥≤24.92 #44c. Red; The line color has the smallest tolerance, 0.07<0.25<0.5, so the other line colors would be well within their tolerances. #61 Each has an non-empty solution set (no solution) except for the third inequality.
Pg #12 - 𝑥|6<6<10 #14- 𝑟 |𝑟<− 9 4 𝑜𝑟 𝑟>3 #38- 𝑥|− 9 4 <𝑝< 5 4 #41 - |𝑥+4|≥4 #44a. – red 𝑥−24.42 ≤0.07 blue |𝑥−24.42|≤0.25 green |𝑥−24.42|≤0.5

2. Graphing One-Variable, Compound and Absolute Value Inequalities

3. Example 1
Solve 8y +10 < 3y -15. Graph the solution set on a number line.
y > –5

4. Example 1
Answer: Any real number greater than –5 is a solution of this inequality.
A circle means that this point is not included in the solution set.

5. Example 2 Solve 12  –0.3p. Graph the solution set on a number line.
Original inequality
Divide each side by –0.3, reversing the inequality symbol.
Simplify.
Rewrite with p first.

6. Example 2 Answer: The solution set is p | p  –40.
A dot means that this point is included in the solution set.

7. Example 3
Solve the inequality 3(3w + 1) ≥ 4.8. Graph the solution set on a number line.
A. {w | w ≤ 0.2}
B. {w | w ≥ 0.2}
C. {w | w ≥ 0.6}
D. {w | w ≤ 0.6}
5-Minute Check 2

8. Example 4
What is the solution to 11  2x + 5 < 17? A. B. C. D.

9. Example 5
What is the solution to x + 5 < 1 or –2x  –6? Graph the solution set on a number line. A. B. C. D.

10. Example 6
A. What is the solution to |x| > 5? A. B. C. D.

11. Example 7
What is the solution to |3x – 3| > 9? Graph the solution set on a number line. A. B. C. D.

12. Example 8 Write an absolute value inequality for the graph. 𝒘−𝟏 < 𝟑
|𝒘−𝟏| > 𝟑

13. Assignment – Quiz Tomorrow after HW Questions
Pg #19, 20, 24, 36 Pg #12, 14, 26, 30, 38, 59