MAT 115 Exam 2024/25 pass grantee
absolute value - ANSWERSa given number's distance from zero
Properties of |X| - ANSWERSIf x > 0, then |x| = x
If x < 0, then |x| = -x
For real numbers A and B, an equation of the form |A| = B, with B ≥ 0, will have solutions when: - ANSWERSA = B...
MAT 115 Exam 2024/25
pass grantee
absolute value - ANSWERSa given number's distance from zero
Properties of |X| - ANSWERSIf x > 0, then |x| = x
If x < 0, then |x| = -x
For real numbers A and B, an equation of the form |A| = B, with B ≥ 0, will have
solutions when: - ANSWERSA = B and A = -B
If B < 0, what solution(s) will satisfy the equation |A| = B - ANSWERSIt has no solutions
An absolute value equation in the form of |ax + b| = c has the following properties: -
ANSWERSIf c < 0, |ax + b| = c has no solution
If c = 0, |ax + b| = c has one solution
If c > 0, |ax + b| = c has two solutions
How to solve an absolute value equation - ANSWERSIsolate the absolute value
expression on one side of the equal sign
If c > 0, write and solve two equations: ax + b = c and ax + b = -c
Interval notation can be indicated with - ANSWERSParentheses and/or brackets
With interval notation, parentheses indicate solutions... - ANSWERSgreater or less
than the given number in relation to x
a solution set including all real numbers, negative and positive
How is infinity/negative infinity represented in interval notation? - ANSWERSUse
parentheses
With interval notation, brackets represent solutions that are? - ANSWERSGreater than
or equal to/less than or equal to the given number in relation to x
An interval is - ANSWERSa set of numbers in which a solution falls
"All real numbers between a and b, but not including a or b" in Interval Notion looks
like: - ANSWERS(a,b)
, "All real numbers greater than a, but not including a" in Interval Notation looks like: -
ANSWERS(a, ∞)
All real numbers less than b, but not including b in Interval Notion looks like: -
ANSWERS(-∞,b)
"All real numbers greater than a, including a" in Interval Notation looks like: -
ANSWERS[a, ∞)
"All real numbers less than b, including b" in Interval Notation looks like: -
ANSWERS(−∞, b]
"All real numbers between a and b, including a" in Interval Notation looks like: -
ANSWERS[a,b)
"All real numbers between a and b, including b" in Interval Notation looks like: -
ANSWERS(a, b]
"All real numbers between a and b, including a and b" in Interval Notation looks like: -
ANSWERS[a,b]
"All real numbers less than a or greater than b" in Interval Notation looks like: -
ANSWERS(-∞,a) U (b, ∞)
"All real numbers" in interval notation looks like: - ANSWERS(-∞, ∞)
We think about absolute value as... - ANSWERSThe distance from one number to
another
When representing an inequality on a number line, what determines whether the circle
will be open or closed? - ANSWERSThe symbol being used
What does drawing an open circle on a value represent on a number line? -
ANSWERSThe number is not included in the solution set
What does drawing an closed circle on a value represent on a number line? -
ANSWERSThe number is included in the solution set
For interval notation, If "x" is greater than any given number, that number: -
ANSWERSwill be placed first in the left-hand column (x column)
For interval notation, If "x" is less than any given number, that number: - ANSWERSwill
be placed second in the right-hand column (y column)
The [blank] sign should be placed before the infinity sign when "x" is... - ANSWERSThe
negative sign; less than a given number
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller muchiracalorine. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.99. You're not tied to anything after your purchase.
