Absolute Value Equations & Inequalities

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

Which compound inequality involves >,≥ when solving absolute value inequalities?

• and

• or

What is the solution of ∣5x-2∣=7x+14?

• x=-1

• x=-1, x=-8

• x=-8

• no solutions

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 4

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5