Math233A Homework 9: Solving Linear Inequalities and Budgeting, Exercises of Algebra

Math233a homework #9, focusing on chapter 2.5, which covers solving linear inequalities. The homework includes exercises on solving inequalities and representing the solutions in interval notation and graphically. Additionally, it presents a problem about calculating the number of miles that can be traveled within a budget based on car rental charges.

Typology: Exercises

2012/2013

Uploaded on 01/07/2013

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Math233A
Name
Homework
#9
Chapter 2.5:
Solving
Linear Inequalities
1.
Solve
the
inequality,
state the
solution in
2.
Solve
the
inequality,
state the
solution
in
interval
notation, and solution set,
then
graph
interval
notation, and solution set,
then
graph
it: it:
'^-^r
4 3 1
-2<^<2
-x-l>-
and
4--x<l
Solution
set:
Solution
set:
Interval notation: Interval notation:
el
I I I I I I I i
(I I I M I i I I I I)
3.
A car
rental company
charges
$37.50 plus
$0.21
per
mile.
If
you
budgeted $150,
to the
nearest
tenth
of
a
mile,
how many miles
can
you
travel
to
stay
within
the
budget?
Let
=
Inequality:
4.
Ella
wants
to
make
a
B
in her
algebra class.
The grading scale
for a
B
is 85 to
93, inclusive.
Her
first four
test
scores were 93, 100, 88,
and
87.
Determine
the
range
of the
grades
she
must
score
on her
fifth
test
in order
to
make
a
B.
Let
Inequality:
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Math233A Name Homework # Chapter 2.5: Solving Linear Inequalities

  1. Solve the inequality, state the solution in 2. Solve the inequality, state the solution in interval notation, and solution set, then graph interval notation, and solution set, then graph it: it:

' ^ - ^ r 4 3 1

  • 2 < ^ < 2 - x - l > - and 4 - - x < l

Solution set: Solution set:

Interval notation: Interval notation:

el I I I I I I I i (I I I M I i I I I I)

  1. A car rental company charges $37.50 plus $0.21 per mile. If you budgeted $150, to the nearest tenth of a mile, how many miles can you travel to stay within the budget?

Let =

Inequality:

  1. Ella wants to make a B in her algebra class. The grading scale for a B is 85 to 93, inclusive. Her first four test scores were 93, 100, 88, and 87. Determine the range of the grades she must score on her fifth test in order to make a B.

Let

Inequality:

Docsity.com