BC 1
Name:
Startup 1
(1)
(2)
Write the following with interval notation.
a.
–3  x < 4
(4)
x < –1 or x  2
Solve each equation or inequality.
a.
(3)
b.
|x|=6
b.
|x|<6
c.
|x|>6
Solve.
a.
|x–3|=4
c.
Solve the inequality | x – 3 | < 4 and explain what this represents in terms of distance.
Write an absolute value inequality that
represents the following statement and
then solve the inequality.
The distance from x to –4 is less than 12.
b.
(2)
|x–3|>4
Write a sentence about distances that
could be an interpretation of the
following absolute value inequality.
x6  2
BC 1
Name:
Startup 2
(5)
Write a sentence about distances that could be an
interpretation of the inequality at the right.
Then solve this inequality.
(6)
Solve the following inequalities:
5
a.
1
( x  3)
7)
b.
Use dotted lines to sketch the graphs of y =
points of intersection and then solve: x 2 

x 3  x 5
x2  4
0
x( x  2)
1
and y = x 2 on the axes below. Label the
x
1
.
x