What is the solution to the open sentence?
C. 3
Can you write an open sentence involving absolute value for this graph?
This is my best guess at what you are talking about. <======●------------+------------●====... ············ -4············0············4······ The easiest interpretation of |x - y| is "the distance between x and y". Notice that in the above graph, the distance between x and 0 is greater than or equal to 4. Which is |x - 0| ≥ 4 or just |x| ≥ 4.
Solving Open Sentence Equations Involving Absolute Value question?
A quick search for "line graph" and "open circle" confirmed my suspicion that it doesn't specifically mean "less than"; it means that the point is not included in the graph. In this case, the open circle on the 1 translates to a "greater than" condition; the one at the 11 translates to "less than." The technique here is to look for the middle of the line, which is at 6, a distance of 5 from each end. So the difference between any solution and 6 is less than 5. That last statement translates directly into an absolute-value inequality: |x - 6| < 5 where we use < instead of ≤ because of those open circles. (By the way, I used a Windows tool called a "character map" to generate that ≤ sign. On my system it, and many other useful characters, are reachable via the following sequence of menus: Start -> Programs -> Accessories -> System Tools -> Character Map If you don't want all that hassle, just about everybody around here will understand the sequences <= for ≤ and >= for ≥ which are now used in many computer programming languages.)