Graph the inequality. \( x<-9 \)
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Imagine a number line stretching out before you! To graph the inequality \( x < -9 \), you'll first find the point -9 on that line. The next step is to draw an open circle around -9, indicating that this point itself is not included in the solution. Then, shade everything to the left of -9 to show all the numbers less than -9. Voilà! You've graphically represented this inequality, illustrating that x can be any value smaller than -9. In real life, think of an exclusive club! The entry requirement is being less than a certain age: let's say 9. Anyone below that age is welcome, but those who are 9 or older cannot enter. Just as in the graph where -9 is not included, the club has a strict policy against allowing those at that age! This makes it clear that the values you’re interested in are only those that satisfy the inequality.