Question

Write a compound inequality that the graph could represent.

Answer 1

this is a "AND" conjunction so.....
all x's bigger than -1, including -1 AND all x's less than 3

Answer 2

@dpaInc, Thanks, So what would I write?

Answer 3

@dpaInc, What do you mean by x's?

Answer 4

x's represent all numbers on the number line....
maybe i should've just said that huh?

Answer 5

LOL @dpaInc, So I could write that all the x's including -1 and all the x's less than -3?

Answer 6

Does that include -3?

Answer 7

no... "all x's bigger than -1, including -1" AND "all x's less than 3, not including 3"
the graph has an open circle at x=3 meaning it does NOT include 3. if there is a filled in circle (at x=-1, for example) then it will include that point.

but can you write all this out mathematically?

Answer 8

@dpaInc- I do not know, It just says Write a compound inequality that the graph could represent.

Answer 9

@dpaInc , what do you think?

Answer 10

"all x's bigger than -1, including -1" : \(\large x\ge-1 \)

AND

"all x's less than 3, not including 3" : \(\large x<3 \)