Page 696 - Algebra 1

Lesson Practice
Solve and graph each inequality.
⎢x _
a.
(Ex 1)
c.
(Ex 1)
e.
(Ex 3)
g.
(Ex 4)
5⎢x +6<31 -4⎢x +9>-1
_x+5 -9<-2 ⎪2 ⎥
b. -3≥1 (Ex 1) 7
d. ⎢x-9 +3≤10 (Ex 2)
f.⎢5x-5 -12>-2 (Ex 3)
Practice
Distributed and Integrated
*1.
(101)
*2.
(101)
*3.
(101)
4.
(39)
*5.
(101)
*6.
(101)
Solve and graph the inequality 7⎢x - 4 ≥ 3.
Error Analysis Two students solve the inequality ⎢x - 4 + 2 ≤ 6. Which student is
correct? Explain the error.
_
Write Describe the three steps needed to solve the inequality ⎢x + 11 ≤ 16.
Basketball NCAA rules require that the weight w of a basketball used in an NCAA men’s basketball game vary no more than 1 ounce from 21 ounces. Write and solve an absolute-value inequality that models the acceptable weights. What is the largest acceptable weight?
Student A
⎢x - 4 + 2 ≤ 6 ⎢x - 4 ≤ 4
-4 ≤ x - 4 ≤ 4 0≤x≤8
Student B
⎢x - 4 + 2 ≤ 6 -6 ≤ x - 4 + 2 ≤ 6 -6 ≤ x - 2 ≤ 6 -4 ≤ x ≤ 8
Simplify
4 -1 m4m m
pt-2 p-2wt ___
2
3
-1
-3
(
)
w
+ 6t w - .
Analyze Suppose that a, b, and c are all positive integers. Will the solution of the inequality -a⎢x - b ≥ -c be a compound inequality that uses AND or a compound inequality that uses OR?
Oven Temperature Liam’s oven’s temperature t varies by no more than 9°F from the set temperature. Liam sets his oven to 475°F. Write an absolute-value inequality that models the possible actual temperatures inside the oven. What is the highest possible temperature?
Lesson 101 681