Download Inequality PPT

BELLWORK
Agenda:
1-Step Inequality
WS due Friday
(graded)
INEQUALITIES
7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and
inequalities to solve problems by reasoning about the quantities.
7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational
numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence
of the operations used in each approach.
7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational
numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
An inequality states that two quantities
either are not equal or may not be
equal. An inequality uses one of the
following symbols:
Symbol
<
>
≤
≥
Meaning
Word Phrases
is less than
Fewer than, below
is greater than
is less than or
equal to
More than, above
is greater than
or equal to
At least, no less than
At most, no more than
An inequality may have more than one solution.
Together, all of the solutions are called the
solution set.
Bill must roll between a 2 and a 4 to win the
dice game
4< x > 2
2<x<4
2>x>4
4<x>2
This open circle shows that 5 is not a solution.
a>5
If the variable is “greater than or equal to” or “less
than or equal to” a number, that number is indicated
with a closed circle.
This closed circle shows that 3 is a solution.
a≤3
WORKSHEET
Working on your own
BELLWORK
COLLECT
BELLWORK
1-STEP
INEQUALITIES
7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and
inequalities to solve problems by reasoning about the quantities.
7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational
numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence
of the operations used in each approach.
7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational
numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
REVIEW
Graph each inequality.
A. n < 3
–3
–2
–1
–6
–4
–2
0
1
2
3
B. a ≥ –4
0
2
4
6
Graph each inequality.
A. p ≤ 2
–3
–2
–1
0
1
2
3
–3
–2
–1
0
1
2
3
B. e > –2
NOTES
Solve. Then graph the solution set on a number
line.
a – 10 ≥ –3
–4
–2
0
2
4
6
8
10
Solve. Then graph the solution set on a
number line.
d – 12 ≤ –18
–8
–6
–4
–2
0
2
4
6
ON YOUR OWN…
WITH YOUR ELBOW BUDDY…
Multiplying and Dividing by a NEGATIVE
< flips to > OR ≥ flips to ≤
NOTES
Solve.
c ≤ –4
4
–20
-15
-10
–5
0
5
10
15
Solve.
192< –24b
–10
-8
-6
–4
-2
0
2
4
WORD PROBLEM
COMPUTER LAB
B E L LW O R K
B E L LW O R K
Agenda:
BELLWORK
Paper due
FRI
Inequality
WS due
Wednesday
2-STEP
INEQUALITIES
7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and
inequalities to solve problems by reasoning about the quantities.
7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational
numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence
of the operations used in each approach.
7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational
numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
REVIEW
2-STEP
INEQUALITY
EXAMPLES:
2-STEP
INEQUALITY
EXAMPLES:
YOU TRY!
1.
3.
2.
4.
5.
6.
JIGSAW
1
2
3
QUESTION
• When should you use an equal sign?
• When should you use an inequality symbol?