Solving Absolute Value Equations and Inequalities

• -2

• 2

• 4

• -3

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Solve.

8 - 9|10r - 9| = -73

• r = 9/5, r = 0

• r = 0, r = 5

• r = 9/5, r = 1

• r = -63/10, r= 0

Solve for k. |6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-5,5}

• No Solution

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2