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Abs.Val.Inequalities
Absolute Value Inequalities: Example Problems
Question | Answer |
---|---|
Write the solution in interval notation. |x|<3 | (-3,3) |
Write the solution in interval notation. |x|≤7 | [-7,7] |
Write the solution in interval notation. |x-5|<6 | (-1,11) |
Write the solution set. |2x+8|≤24 | {-16 ≤ x ≤ 8} |
Write the solution set. |x-5|-7â¤-1 | {-1 ⤠x ⤠11} |
|x|< a is equivalent to | -a<x<a |
|x|>a is equivalent to | x<-a or x>a |
Write in Interval notation. |x|≥2 | (-∞,-5]U[5,∞) |
Write in interval notation. |x+6/3|>2 | (-∞,-12)U(0,∞) |
write in interval notation. |x|>-8 | (-∞,∞) |