Problem: Write an article based on this summary: Deal with an argument that is just a variable. Recognize absolute value inequalities. Graph a number line. Consider the numbers on the left side of the number line. Consider the numbers on the right side of the number line. Find the intersect of the two intervals.

Answer: If your argument is just a variable by itself, set equal to a number, then simplifying is very easy. Since absolute value represents a distance from 0, your variable could be either the positive number to which it is equal, or it could be the negative version of that number. There is no way to tell, so include both possibilities in your solution.  For example, say you know that the absolute value of a variable, x, is equal to 3. You cannot tell if x is positive or negative; you are looking for any number whose distance is 3 from 0. Therefore, you solution is either 3 or -3. If this is the kind of argument you need to simplify, stop here. Your work is done. If, however, you have an inequality, continue on. If, however, you are given an argument with a variable, expressed as an inequality, more steps are required. Interpret these inequalities as asking you to find all the possible numbers that could work. For example, say you have the following inequality. This can be interpreted as “Show all numbers whose absolute value is less than 7.” In other words, find all numbers whose distance is 7 from 0, excluding 7 itself. Note that the inequality is constructed as “less than” rather than “less than or equal to.” If it were the later, then 7 itself would be included. The first thing to do, when faced with an absolute value inequality, is to draw a number line. Tag points corresponding with the numbers with which you are working. In the example above, your number line would look like this. The open circles indicate numbers excluded from your final result. Remember: if the inequality were stated as “greater than or equal to” or “less than or equal to,” then these numbers would be included instead. In that case, the circles would be solid. Since you don't know whether your variable is positive or negative, you are really dealing with two possible ranges of numbers: those on the left side of the number line and those on the right. First, consider the numbers on the left. Make the variable negative, and convert your absolute value bars to parentheses. Solve. In the example above, you would convert the absolute value bars to parentheses to show that (-x) is less than 7. Multiply both sides of the inequality by -1. Note that when you multiply by a negative number, you must switch the inequality sign (from less than to greater than, or vice versa). Your inequality would look like this. You now know that for the left side of the number line, x will be greater than -7. On a number line, that would look like this. Now you can look at the other range of numbers, those that are positive. This is even simpler: make the variable positive, convert your absolute value bars to parentheses. In the example above, you would convert the absolute value bars to parentheses to show that (x) is less than 7. No further work is necessary for this step. On a number line, that would look like this. Once you have considered both sides, you need to determine where the solutions overlap. Draw both intervals on the same number line to get a final result. In the example above, you would highlight values greater than -7 and less than 7 (but excluding -7 and 7 themselves). These are your solutions.


Problem: Write an article based on this summary: Pick the basil leaves. Pack the basil leaves into a suitable clean jar. Pour your vodka of choice over the leaves. Seal. Use.

Answer: Do this when they're just dried from dew but have not yet had the sun's heat on them. You'll need about 2 dozen leaves for this recipe. Wash, clean and dry as needed. Pack loosely. Cover the leaves and fill the jar about 4/5ths. Put the covered jar into the refrigerator for 24 hours to infuse. Leave as long as you like beyond this time, as the flavor will simply continue to intensify. Strain the basil leaves out when using the vodka. You can simply add them back to the unused vodka to keep infusing but don't include them in your cocktails or neat vodka drink as the flavors are now in the liquid.


Problem: Write an article based on this summary: Look for money in places where money is handled often. Check parking lots and bleachers. Try vending machines. Keep an eye on the sidewalk. Check bathrooms and public furniture.

Answer: This includes stores, restaurants, public telephones, public transportation, and bars. Keep an eye on the floors of these places, and you may be surprised by how much money you can spot. Try to be at least a little discrete about this though. You don't want people questioning why you're roaming around a restaurant with your back bent and your eyes glued to the ground.  Be careful to not pick up money that was just dropped. You might find a stray dollar in the corner of a bar, but if it was just dropped by someone, return it them if they're not picking it up themselves. The goal is to collect money left behind, not steal. Pay careful attention to sides and corners, where coins can easily roll out of sight and out of the way. Inspect under bleachers at sporting events, fairs, and other venues with open-bottomed bleachers. Also check car parking lots, especially those of night clubs and bars. Do so in the morning hours, before traffic starts moving. It's amazing what people will drop when they are drunk, tired, and distracted.  Whenever you need to go to a store, park far from the store, so you can search for money on the ground as you walk.  Pay extra attention to self-pay parking lots and drive-throughs. People will reach from their car window to pay, and often drop coins to the ground. Most people won't bother to get out of their car to collect this change. Check the coin return slots in vending machines. Look behind and underneath them for change that has rolled out of sight. Most people will not bend down and rummage under a vending machine to find a coin they've lost. Look down alleyways, and often-used footpaths where people may drop their spare change. This is an easy thing to do when you're out on other business. It's just about making a habit of being observant of the ground and what you might come across. Check behind the public toilet seat. People have to drop their trousers, and anything could come out of those pockets, including change or bills. Also, look behind the cushions of the sofa, and seats, that you find in the foyer and bars of a hotel. This can be done by discreetly running your hand behind the cushions after you sit down.


Problem: Write an article based on this summary: Write the text file using a text editor. Enclose the text to be italicized in braces ({}). Precede the text to be italicized with the “\textit” command.

Answer:
LaTeX (pronounced “LAY-tech” or “LAH-tech”) is a typesetting  application that converts text files into formatted documents. To use LaTeX, you must first create a document in a text editor program with instructions telling LaTeX what type of document you have and where the actual document text begins. These instructions are command that begin with the backslash (\) character.  Specify the type of document with the “\documentclass” command, with the type of document specified in braces. For an article, the command would read “\documentclass {article}”. (Do not include the quotation marks; they are used here to set off the example.) Specify where the text portion begins with the command “\begin {document}”. The braces indicate the starting and stopping places for formatting the text as specified by the formatting command. You can nest several formatting commands, such as having a large block of italicized text with a portion within it in boldface. If you do nest commands, be sure to use as many close braces as you do open braces to ensure that the text is formatted the way you want. A sentence with the last word italicized would read as follows: “One of the first TV shows to realistically depict the routine of patrol officers was \textit {Adam-12}.”