MATH 121
Absolute Value Problems
1. (Section 3.5) Write an inequality of the form
x a C
or of the form
x a C
so that the inequality has the given solution set.
a)
3,3
b)
2,8
c)
3,17
d)
,9 13,
2. (Section 4.6) Solve each of the following algebraically and use your calculator to
check your solution.
a)
65
2 xx
b)
xx 1881
2
(Be careful here...)
c)
44 xx
(Be extra careful here...)
3. (Section 3.5) Solve for
x
in each of the following equations.
(a)
12
4
3
8
3 x
(b)
12
4
3
8
3 x
(c)
8
13
4
3
8
32 x
(d)
22 4
3
4
3 xx
4. (Section 3.5) Let
5
1
21
x
xf
. Find all numbers, x, such that
1xf
.
5. (Section 3.5) Solve for x in each of the following.
(a)
377
2
8
x
(b)
21
3
1
59
x
(c)
2
1
5
211
x
(d)
2
1
5
121
x
6. (Section 3.5) Solve each of the following, using interval notation for your solution:
a)
24
3
1
x
b)
61325 x
