Please help me with writing inequalities for intervals and graphing them. Ex: [ -4,5] ( ∞, -1] or (3,∞) Can someone teach me how on these two problems. Thanks in advance.

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Please help me with writing inequalities for intervals and graphing them. Ex: [ -4,5] ( ∞, -1] or (3,∞) Can someone teach me how on these two problems. Thanks in advance.

Mathematics
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  • phi
how much do you know?
not a lot
  • phi
[-4,5] means from-4 to +5

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Other answers:

oh okay so far that helped me tons
  • phi
to "graph" it, show a number line, and draw a line to show the numbers from -4 to +5 can you do that ?
i think so
i'm trying right now
okay I did it
  • phi
the [ in [-4,5] means -4 is part of the answer to show that, put a solid dot at -4 ditto for the +5
okay done
  • phi
|dw:1444425810562:dw|
ooh yay! thank you
  • phi
for inequalities people use "x" for the number you want x "between" -4 and 5 you want x bigger than (or equal) to -4 and you want x less than or equal to +5
so im going to use the less than or equal to sign when I write the inequality sign correct?
-4 is less than or equal to x5?
  • phi
I would write it as -4 is less than or equal to x and x is less than or equal to 5
thank you so so much
for the next question does the ∞ in the problem mean that is goes on. meaning that it has no ending?
  • phi
you put the small point end of < or \(\le\) next to the smaller side, and the big fat side next to the bigger number
  • phi
infinity is not a number, it is more like an idea: "keep going" I assume you left out an minus sign and mean ( - ∞, -1] or (3,∞)
yes sorry
  • phi
(- infinity, -1] to graph, put a solid dot at -1 (solid because of the ] ) and draw a solid line in the direction of more negative numbers. put an arrow on it to show it "keeps going"
  • phi
on the same graph put (3,∞) the ( 3 means it starts at 3 and ∞) means all numbers after 3 the ( part means 3 is not part of the graph, i.e. all numbers bigger than 3 but not including 3. Use an OPEN circle at 3 instead of a solid dot.
okay so |dw:1444426396931:dw|
  • phi
yes, that is the first part
okay then |dw:1444426668016:dw|
  • phi
yes. as inequalities it is \[ x \le -1 \cup x > 3 \]
thank you so much phi
is that all?
  • phi
yw
have a nice night

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