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7. [-8, 9] (-, -10)
A. Change each set notation to interval notation.
8. (-, -1] (0, 3) [4, 10] [11, )
_2. n 5
_1. n > 0
_3. n < 6
_4. n -2
_5. 3 < n < 8
1) 3(x 7) + 4 > 4(x + 1) 3
_6. -9 < n 4
_7. 0 n < 7
E. Write the solution set using set notation and
13) The set of real numbers x such that
1
is greater than zero.
2(1 + 3 x )
18) The set of real numbers x such that
3(3 x + 1)
6
2( x 4)
2x 1
is no less than
.
3
3
14) The set of real numbers x such that 2(1 5x) (14 x) is negative.
19) The set of real num
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H3 ICA Math with Teacher Rochelle
1
-Name: _
Inequalities (WS 1)
Rational
Find the solution set
1.
3x + 7
0
x +5
2.
x 2 + 4x
>0
x +1
-3.
x 2 + 4x + 3
x 2 + 2x
4.
0
x 2 16
Absolute Value Equations
1. ax + b= c since c is positive solve using: ax + b = c
2. ax + b= - c
no solution
3.
is also an absolute value because this can be written as ax + b= c
(ax + b) 2 = c
4. -5 3x= 11
5. - 2 + 5x 4= 7
solve using: ax + b = c
A. .
A. Change each statement to set notation and interval
notation.
_ _1. All real numbers x from 6 to 9
_ _2. The number x is negative
_ _3. All real numbers x between 0
& 4, including 4
_ _4. All real numbers x between 4
& 11, 4 inclusive
5) The set of real
_9. Multiples of 8 from -24 and 16
INEQUALITIES
_10. Set of even numbers greater than 10
_11. Set of even numbers less than 18
Basic Concepts
Solutions of inequalities may be written in
graphical form:
interval notation form:
(-, 2)
set notation form:
cfw
Ellipse:
1.
x2
y2
+
=1
169 25
7.
Center:
Vertices (Intercepts):
Center:
Vertices (Intercepts):
Foci:
Length of the major axis:
Length of the minor axis:
2.
x2
y2
+
=1
64 100
Foci:
Length of the major axis:
Length of the minor axis:
8.
Center:
Vertices (In