1. First week of Homework

2. HW #1 Section 2.1 Pg #3-30 (x3)
Solve each inequality and graph each solution set that is not empty.
3) 2𝑡<6
6) −12>−4𝑦
9) 3𝑠−1>−4
12) 3𝑡>6𝑡+12
15) 5 2𝑢+3 >2 𝑢−3 +𝑢
18) 4𝑠+3 2−3𝑠 <5(2−𝑠)
21) 𝑘−3 2−4𝑘 <7− 8𝑘−9+𝑘
24) 4 5𝑥− 3𝑥−7 <2(4𝑥−5)
Tell whether each statement is true for all real numbers. If you think it is not, give a numerical example to support your answer.
27) If 𝑎<𝑏, then 𝑎 2 < 𝑏 2
30) If 𝑎<𝑏 and 𝑐<𝑑, then 𝑎−𝑐<𝑏−𝑑

3. HW #2 Section 2.2 Pg. 67-68 OE #7-14; WE #3-36 (x3)
OE: Match each graph with one of the open sentences

4. HW #2 continued WE #3-36 (x3)
WE: Solve each conjunction or disjunction and graph each solution set that is not empty
3) 3≤𝑥<5
6) 𝑦≥−1 or 𝑦≥3
9) 0≤𝑥−2<3
12) −1≤3𝑧+2≤8
15) 2𝑡+7≥13 or 5𝑡−4<6
18) 2𝑥+3>1 and 5𝑥−9≤6
21) −3<2− 𝑑 3 ≤−1
24) 5𝑛−1>0 and 4𝑛+2<0
27) − 3 4 𝑚≥𝑚−1 or − 3 4 𝑚<𝑚+1
30) −5<2 2−𝑠 +1≤9
33) 0<1−𝑥≤3 or −1≤2𝑥−3≤5
36) 𝑥≤ 𝑥 𝑜𝑟 𝑥≥2𝑥−1 and 1≤ 𝑥−1 2 ≤3

5. HW #3 Section 2.3 Pg. 68 # 16, 17, 23, 26, 28;
Pg. 75 #9-30 (x3), 16, 22
WE: Solve each conjunction or disjunction
and graph each solution set that is not empty
16) 2𝑥+3>1 or 5𝑥−9≤6
17) 2𝑥+7≥13 and 5𝑡−4<6
23) 7𝑞−1>𝑞+11 or −11𝑞>−33
26) 3𝑦+5≥2𝑦+1>𝑦−1
28) 3𝑧+7≤4𝑧 and 3𝑧+7>−4𝑧
Solve and graph the solution set
9) 2𝑡+5 <3
12) 8= 5𝑦+2
15) 0≤ 4𝑢−7
18) 1> 2−0.8𝑛
21) 2𝑢−1 +3≤6
24) 6+5 2𝑟−3 ≥4
27) 7+5 𝑐 ≤1−3 𝑐
#30 Graph the solution set of each open sentence
30) 1≤ 𝑠−2 ≤3
16) 3𝑟−12 >0
22) 4− 3𝑘+1 <2