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Absolute Value Equations and Inequalities
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Solve the equation.
 
{5, - 8}
 
{5, 8}
 
{1, - 1/3}
 
{0, -3}
Solve the equation.
 
{10, -16}
 
{-70/9, 6}
 
{-70/9, 6}
 
{10}
Solve the equation.
 
{8, -2}
 
{-23/10}
 
{-23/10, 7/10}
 
{3, -7}
Solve the equation.
 
{- 14/3, 6}
 
{0, - 2}
 
{6}
 
{6, - 62/7}
Solve the equation.
 
{5/3}
 
{1, 5/3}
 
{1}
 
No solution
Solve the equation.
 
No solution
 
{-10, 36}
 
{-10}
 
{36}
Solve the inequality.
 
- 3 < x < 17
 
x > 20 or x < - 2
 
5 < x < 13
 
x > 17 or x < - 3
Solve the inequality.
 
r > -3 or r < - 13
 
-13 < r < -3
 
3 < r < 13
 
r < -3 or r > -13
Solve the inequality.
 
v ≥ 1 or v ≤ - 3
 
-5 ≤ v ≤ 3 
 
v > 1 or v < - 3
 
-3 ≤ v ≤ 1
Solve the inequality.
 
- 4 < x < 4
 
x < - 4 or x > 4
 
x < - 8/5 or x > 8/5
 
- 8/5 < x < 8/5
Solve the inequality.
 
-22 ≤ p ≤ 10
 
p < - 22 or p > 10
 
-22 < p < 10
 
p ≤ - 22 or p ≥ 10
Solve the inequality.
 
n > 9 or n < - 11
 
-11 < n < 9
 
-9 < n  < 9
 
n > 9 or n < -9
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 equation.
 
No solution
 
{ 1/2 , -5/2 }
 
x = 1/2
 
x = -5/2
Solve the inequality.
 
All real numbers.
 
-5/3 < x < 5/3
 
x < -5/3 or x > 5/3
 
No solution.
Solve the inequality.
 
No solution.
 
All real numbers.
 
x ≤ -9 or x ≥ -5
 
-9 ≤ x ≤ -5