Please solve for the interval notation corresponding to the set notation
{x | x < –7}
See answer to Rachale's question.
http://www.jiskha.com/display.cgi?id=1243987256
Thank you, but why is it
(-infinity -7)?
is it translated to
negative infinity - 7?
> [-5,8) is the same as {x|-5=<x<8}
meaning that the square bracket [ includes the lower limit, while the ] includes the upper limit. The limits are separated by a comma.
You are right in actual practice, it is normal to exclude infinity or negative infinity. In my books, -infinity is a short form for negative infinity.
So the correct answer would be:
(negative infinity, -7)
Thank you for the explanation!
To find the interval notation corresponding to the set notation {x | x < -7}, you can follow these steps:
Step 1: Start by writing down the left parenthesis "(" to indicate an open interval.
Step 2: Identify the value that x is less than in the set notation, which is -7 in this case.
Step 3: Write down the identified value with the corresponding inequality symbol. In this case, it would be -7 with the less than symbol (<).
Step 4: Finally, write down the right parenthesis ")" to indicate an open interval, and combine all the elements together.
Based on the steps above, the interval notation corresponding to the set notation {x | x < -7} would be (-∞, -7).