Name Solving and Graphing Inequalities Inequality by qym17251

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									                                                       Name:_____________________

                 Solving and Graphing Inequalities
Inequality: __________________________________________________

_________________________________________________________.



Symbol           >                ≥                    <                 ≤


Reads



Writes       ____>____ ____≥____ ____<____ ____≤____

Place the correct inequality symbol in the circle between the numbers.
1)               2)              3)                4)             5)
    3    -9          -4    0        1.3    1.25      -3+1     -4   3-4       2-5



Graph the following inequalities on the number line.
6) x > 3                                  7) t < 3




8) s ≥ - 2                                 9) x ≤ -2




10) g < 0                                  11) f ≥ 0




12) Explain what you do differently when you graph a less than/greater than sign
rather than a less than or equal to/greater than or equal to sign.




                                   Standard 5.0
Solving Inequalities by Adding and Subtracting.
Property                 Words                Symbols              Example

Addition
Property of
Inequalities

Page: ______



Subtraction
Property of
Inequalities

Page: ______



Solve and graph the following inequalities.
13) x + 13 > 18                            14) t + 5< 7




15) s – 7 ≥   -3                           16) 4 +x ≤ 2




17) 5 < 3 + g                              18) -2 ≥ 2 + f




Transform the following inequalities so that the variable is on the left.
19) 3 < b           20) −6 ≤ j                1                     2 1
                                         21)    ≥x             22) + > g
                                              5                     3 6




                                   Standard 5.0
                         Words                     Symbols       Example
Multiplication Property of Inequalities
Multiplying by
a Positive
Number

Page: ______

Multiplying by
a Negative
Number

Page: ______

Division Property of Inequalities

Dividing by a
Positive
Number

Page: ______


Dividing by a
Negative
Number

Page: ______


Solve and graph the following inequalities.
       x                                             1
23)      >2                                24)         t < −3
       3                                             3




25)    3s ≥ 6                               26)     4x ≤ 4




         2                                  28)     −4 f ≥ 2 4
27)     − g<4
         3




                                    Standard 5.0
29)    2x − 3 > 7                           30)    −5 y + 9 ≤ 4




31)   −3( s + 6) ≤ 0                        32)    4 − 2m > 7 − 3m




33)    3(2 g − 1) ≥ 8 g + 4 − g             34)    2( f + 4) < 16




Solve the following inequalities, if possible.
35)    3x + 2 + x > 5( x − 2)                36)   5 y − 8 y − 4 ≤ −4 + 3 y




37)   −10 s ≤ 6 s − 8                       38)    5( x + 5) < 5 x − 17




                                    Standard 5.0
Standard 5.0

								
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