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Algebra 2CP
Day 3
1.4 Solving Inequalities
o Daily Openers
o Check homework
1.4 Solving Inequalities
solving an inequality – solve exactly the same way as an equation
★ Reverse the inequality symbol when multiplying or dividing by a negative
Ex. Solve and Graph:
(a) x  10  6
(b) 2x  5  13
(c) 6  3c  15
(d) 3m  5  7m  9
(e) k  3  2(k  4)
(f)  17  r  8
(g) 2w  10  7( w  1)
(h)  3  (1  6 p )
Ex. Solve and Graph:
3 4
1
 kk
10 5
4
(a) 3x  6  5x  8
(b)
(c) 12m  30  16m  3m  17  6  m
(d) 52t  3  7t  8  t
(e)  2.3  2.4 f  0.3 f  6.7
(f) 8
(g) 6q  710  q  14q  3q  9  3q (h)
1 3  2 2
 y   y
2 4  3 3
65
1  11
9 7

 n  n
54
3  12
20 8
SOLVING A COMPOUND INEQUALITY
 Isolate the variable
 Get the variable alone in the middle or in each separate inequality
Ex. Solve and Graph:
 7  g  5  2
Ex. Solve and Graph:
 6  2r  4  20
Ex. Solve and Graph:
11  2  3t  20
Ex. Solve and Graph: y  8  3 or y  2  2
Ex. Solve and Graph: 8w  7  13 or 5w  12  34
Ex. Solve and Graph: 4v  3  5 or  2v  7  1
Ex. Write an Inequality and Graph: All real numbers between -16 and -10
Ex. Write an Inequality and Graph: The length of a piece of plastic is at least 105 ft.
and at most 120 ft.
Homework – pages 29–30 #1–34 all, 36, 41–44 all
Daily Openers – 1. Simplify:
2 5
5 11 8 
 m  4    m
3 7
6 24 7 
2. Find the slope of the line containing the points: (9, -7) and (3, 2)
3. Identify the which set(s) the numbers belong to.
(a)  100
(b) 20
(c) -3.4
4. Solve:  43  k   5  4k  3
5. Find the point where the two lines intersect:
y  3x  6
x2