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Absolute Value Equations and Inequalities

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  • Solve the inequality.
    r > -3 or r < - 13
    r < -3 or r > -13
    -13 < r < -3
    3 < r < 13
  • Solve the equation.
    {1, - 1/3}
    {5, 8}
    {5, - 8}
    {0, -3}
  • Solve the inequality.
    v > 1 or v < - 3
    -5 ≤ v ≤ 3 
    -3 ≤ v ≤ 1
    v ≥ 1 or v ≤ - 3
  • Solve the equation.
    {-10}
    {-10, 36}
    No solution
    {36}
  • Solve the equation.
    {6}
    {- 14/3, 6}
    {0, - 2}
    {6, - 62/7}
  • Solve the inequality.
    -11 < n < 9
    -9 < n  < 9
    n > 9 or n < -9
    n > 9 or n < - 11
  • Solve the inequality.
    - 8/5 < x < 8/5
    x < - 8/5 or x > 8/5
    x < - 4 or x > 4
    - 4 < x < 4
  • Solve the inequality.
    No solution.
    All real numbers.
    -9 ≤ x ≤ -5
    x ≤ -9 or x ≥ -5
  • Solve the inequality.
    -5/3 < x < 5/3
    No solution.
    x < -5/3 or x > 5/3
    All real numbers.
  • Solve the equation.
    {-70/9, 6}
    {10}
    {-70/9, 6}
    {10, -16}
  • Write the function equation of the given graph.
    y = | x + 4 | - 5
    y = | x + 4 | + 5
    y = | x - 4 | - 5
    y = | x - 4 | + 5
  • Solve the inequality.
    x > 20 or x < - 2
    - 3 < x < 17
    x > 17 or x < - 3
    5 < x < 13
  • Solve the equation.
    x = -5/2
    x = 1/2
    No solution
    { 1/2 , -5/2 }
  • Solve the equation.
    {1, 5/3}
    {5/3}
    No solution
    {1}
  • Solve the equation.
    {-23/10, 7/10}
    {8, -2}
    {-23/10}
    {3, -7}
  • Solve the inequality.
    -22 ≤ p ≤ 10
    -22 < p < 10
    p < - 22 or p > 10
    p ≤ - 22 or p ≥ 10