Unit 2 Section 13 Write Translate & Graph Inequalities.notebook
November 30, 2015
Welcome Back!
Solve.
2|3x ­ 4| ­ 7 = ­4
Nov 1­7:47 AM
Inequalities
Solution to an Inequality - any number that makes the inequality true
Open Circle: ( > , < ) Closed Circle: [ = , ≥ , ≤ ] Interval Notation:
<, >, ∞ parentheses
<, >, = brackets
x < 7
(-∞, 7]
x>8
Aug 20­11:17 AM
(8, ∞)
Unit 2 Section 13 Write Translate & Graph Inequalities.notebook
November 30, 2015
Example 1: Write an inequality that represents the verbal
expression.
a) All real numbers p greater than or equal to 1.5
b) The sum of t and 7 is less than -3
c) 3 less than g is less than or equal to 17
d) Five is more than a number x
Nov 1­7:50 AM
Example 2: Graph the following inequalities.
a) x > -2
b) 5 ≥ x
c) (-∞, 0.5]
d) a ≠ 1
e) -2 < x < 5
Nov 1­7:50 AM
Unit 2 Section 13 Write Translate & Graph Inequalities.notebook
November 30, 2015
Example 3: Write each inequality and interval notation.
a)
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
b)
c)
d)
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
Aug 20­11:19 AM
Example 4: Determine whether each number is a solution
of the given inequality.
a) 3y - 8 > 12
{-3, 0, 9}
b) 8m - 6 ≤10
{-1, 2, 3}
c) 6 - n ≥ 11
n
{0.5, 2, 4}
Nov 12­7:12 PM
Unit 2 Section 13 Write Translate & Graph Inequalities.notebook
Example 5: Write an inequality to model each situation.
a) The restaurant can seat at most 150 people.
b) A person must be at least 16 years old to drive.
c) A doctor has earned more than $50,000 since being
hired.
d) At least 300 students attended the play on Friday
night.
e)
Aug 20­11:29 AM
Homework:
Homework Packet­
page 53, 54
Nov 19­1:08 PM
November 30, 2015
Unit 2 Section 13 Write Translate & Graph Inequalities.notebook
Nov 27­7:30 PM
November 30, 2015