Transcript Solving Inequalities

HW ?’s
August 24, 2011
Algebra 2
Solving
Inequalities
(1-6)
What is an inequality? 1-6
Inequalities have a less than (<), greater than (>), less
than or equal to (<), or greater than or equal to (>)
SIGN
• Key words include
– Less than: is fewer than, is under
– Less than or equal to: is no more than, is at most
– Greater than: is more than, is over
– Greater than or equal to: is no less than, is at least
To graph an inequality with one
variable… y > 4
• Find all of the possible solutions (solve).
• Draw a number line.
– You do not have to put all of the numbers.
– You DO need to put a 0 in the middle and the
number from the solution.
• Where you put the number, you have two
options:
– open circle o for < and >
– closed circle • for ≤ and ≥
• Then shade in the direction of the possible
solutions.
Solving Inequalities with
Addition and Subtraction
1.
y–2<6
2.
-26 < t + 12
Solving Inequalities with
Multiplication and Division
3.
2s < 42
4.
–4d < -12
When you multiply or divide by a negative; switch the sign!!!
Solving Inequalities with
Multiplication and Division
5.
k
> -2
4
6.
m
> -6
2
Solving Inequalities with
Multiplication and Division
7.
1
c ≥0
5
8.
2
d ≤ -3
3
Solve and graph.
9) 15 – 3x > 3
10) 4x + 14 < 3x + 6
Solve and graph.
11) 4x – 5 < 4(x + 2)
12) 2(3x – 1) > 3(2x + 3)
Write an inequality, then solve.
13) You have budgeted $100 to improve
your swimming over the summer. At your
local pool, it costs $50 to join the swim
association and $5 for each swim class.
Write and solve an inequality to find the
possible numbers of swim classes you
can attend within your budget.
Let x = the # of swim classes
Today’s Vocabulary:
inequality, less than, greater than, less than
or equal to, greater than or equal to, open
circle, closed circle
Homework
Read “key concept” on page 42
Do unit 1 WS #1