Published on March 16, 2014
x is: Graph Solution |x| = c at c and -c x = c or x = -c |x| < c between c and -c -c < x < c |x| > c beyond c and -c x < -c or x > c -c 0 c -c 0 c -c 0 c
Sentence Equivalent Sentence |ax + b| = c ax + b = c or ax + b = -c |ax + b| < c -c < ax + b < c |ax + b| > c ax + b < -c or ax + b > c
Solve |2x + 7| < 11 and graph the solution on a number line.
Solve |2x + 5| 7 and graph the solution.
Solve |-x + 5| 6 and graph the solution.
Solve |3x – 2| 8 and graph the solution.
Solve |3x – 9| > 4 and graph the solution.
Solve |x + 5| > 12 and graph the solution.
The other case for absolute value inequalities is the "greater than" case. Let's first return to the number line, and consider the inequality | x ...
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