all real numbers that are greater than -6 but less than 6. i kinda get it but im confused with the symbols(<,>) i don't now which ones greater or which ones less its confusing
the arrow points to the smaller number
6 < x means six is less than x
x > 2 means x is greater than 2
<= means less than or equal
>= means greater than or equal
So, you want
-6 < x < 6
think of the point of the arrow as small, so it's next to the smaller value.
I understand your confusion. The symbols < and > can be a bit tricky to remember which one means greater than and which one means less than.
To help you remember, think of the symbol < as an open mouth, always wanting to eat more, so it represents "less than". On the other hand, think of the symbol > as an arrow pointing towards the bigger side, so it represents "greater than".
Now let's apply this to your question: finding all real numbers that are greater than -6 but less than 6.
To do that, we use the symbols < and > to express the inequalities. Remember that the smaller end of the range is always on the left side of the symbol.
So, we can write it as:
-6 < x < 6
This means that "x" can be any real number that is greater than -6 and less than 6. In other words, x can take on any value between -6 and 6, excluding -6 and 6 themselves.
To express it in words, you can say: "x is greater than -6 and less than 6".
I hope this helps clarify the meaning and usage of the symbols < and > in this context! Let me know if you have any further questions.