Items 7 through 49 odds. Do the work on a separate sheet with your name on it, and hand it in Thursday.
Today bell-ringer and inclass: Solve and graph |x-3| < 2
When a problem has absolute value bars | |, you need to remove them and follow the rules for solving two parts of the problem.
Remove the absolute value bars and write what's left twice:
x-3 < 2 x-3 < 2
One of these is the original and you leave it alone. For the other, introduce a negative sign (to create the opposite) AND change the direction of the inequality:
(original) x-3 < 2 (opposite) x-3 > -2
add 3 to each side add 3 to each side
x < 5 x > 1
position is 5 position is 1
dot is closed dot is closed
thick arrow points left thick arrow points right
Combine the graphs into one segment from 1 to 5 where the arrow tails overlap.
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