NOTESMATH 7 MS. CHUN WEEK 3: 4/13-4/17/20willjarms.enschool.org/ourpages/auto/2020/5/1/46354937/WEEK...
Transcript of NOTESMATH 7 MS. CHUN WEEK 3: 4/13-4/17/20willjarms.enschool.org/ourpages/auto/2020/5/1/46354937/WEEK...
Solving Inequalities
Inequality Signs
An inequality is like an equation, but instead of an equal sign (=) it has one of
these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to
“x < 5”
means that whatever value x has,
it must be less than 5.
What could x be?
“x ≥ -2”
means that whatever value x has,
it must be greater than or equal to -2.
What could x be?
Graphing Rules
Symbol Circle Direction of Arrow
< Open Left > Open Right ≤ Closed Left
≥ Closed Right
Examples:
! x < 5
! x > -2
! x ≤ -8
! x ≥ 4
You Try:
! x < -6
! x > 2
! x ≤ 0
! x ≥ -7
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Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com
Name :Teacher : Date :
Score :
Math-Aids.Com
Graphing InequalitiesGraphing Inequalities1 ) g 3< >|
0|1
|2
|3
|4
|5
|6
|7
|8
|9
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|13
|14
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6 ) 8 d< >|
0|1
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-7|
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10 ) -1 - n< >|
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12 ) m 6< >|
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13 ) 0.5 d< >| |
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14 ) 12 f< >|
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15 ) 6 y< >|
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16 ) 5 x< >|
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17 ) f 8< >|
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18 ) -2.5 - q< >| |
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19 ) 10 s< >|
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20 ) - a 1.5< >| |
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Name :Teacher : Date :
Score :
Math-Aids.Com
Graphing InequalitiesGraphing Inequalities1 ) g 3< >|
0|1
|2
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>o2 ) -2 q< >| |
-3| |
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3|< o
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5 ) b 5< >|
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< o6 ) 8 d< >|
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< o7 ) - a -5 or >a 5< >|
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>o8 ) s -5< >|
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10 ) -1 - n or >_1 n< >|
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>o12 ) m 6< >|
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>o15 ) 6 y< >|
0|1
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>o16 ) 5 x< >|
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-6|
-5|
-4|
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-2|
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< o17 ) f 8< >|
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< o18 ) -2.5 - q or >2.5 q< >| |
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0| |
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19 ) 10 s< >|
0|1
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>o20 ) - a 1.5 or <_a -1.5< >| |
-3| |
-2| |
-1| |
0| |
1| |
2| |
3|< o
Name________________________
GRAPHING INEQUALITIES #1 (ONE VARIABLE) Directions: Graph each inequality on the number line provided. For all “less than” inequalities, you should draw your line to the left. For all “greater than” inequalities, draw your solution to the right. Shade your circle in whenever you see ≤ or ≥ .
-5 0 5 -5 0 5
Examples: x > -3 4x ≤
-5 0 5 -5 0 5 -5 0 5
1) 2x ≤ 2) x > -5 3) 1x ≥
-20 -10 0 10 20-20 -10 0 10 20 -20 -10 0 10 20
4) 15x ≥ − 5) x < 10 6) x < -15
-8 -4 0 4 8 -8 -4 0 4 8 -8 -4 0 4 8
7) x > 3 8) x > -3 9) x < 0
-5 0 5 -8 -4 0 4 8-20 -10 0 10 20
10) 1x ≥ − 11) 20x ≤ 12) x < 6
-8 -4 0 4 8-8 -4 0 4 8 -20 -10 0 10 20
13) 4x ≥ − 14) 5x ≤ 15) x < -6
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