Math Problem Statement
Represent the following inequalities on separate number lines. a 1<x<6 b 4<x<11 e 2<x<5 f -8 < x<-1 c -2 <* <6 g 7<88 d -8 <x<3 h 0<x<1
Solution
Let's represent each inequality on separate number lines:
a)
Number line for 1 < x < 6:
0----1----2----3----4----5----6----7
(-------------------)
b)
Number line for 4 < x < 11:
0----2----4----6----8----10---12
(-------------------------)
e)
Number line for 2 < x < 5:
0----1----2----3----4----5----6
(-------------)
f)
Number line for -8 < x < -1:
-10----(-8)----(-6)----(-4)----(-2)----0
(---------------------)
g)
Number line for 7 < x < 88:
0----10----20----30----40----50----60----70----80----90
(-----------------------------------------------)
d)
Number line for -8 < x < 3:
-10----(-8)----(-6)----(-4)----(-2)----0----2----4
(-----------------------------)
h)
Number line for 0 < x < 1:
0----1
(---)
For the inequality c) -2 <* <6
, it seems to have a typo and is not clear what it's representing. If you meant , it would be:
Number line for -2 < x < 6:
-4----(-2)----0----2----4----6----8
(---------------------)
If you meant something else, please clarify.
Do you want any details or have any questions about these number lines?
Here are some related questions you might ask:
- How do you represent on a number line?
- Can you explain how to solve a compound inequality?
- What does an inequality involving absolute values look like on a number line?
- How do you graph on a number line?
- How do you combine inequalities to find the solution set?
Tip: When representing inequalities on a number line, use open circles to denote that endpoints are not included and closed circles for endpoints that are included.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Number Lines
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9