Solving Absolute Value Inequalities

What is the third step in solving absolute value inequalities?

• Write two equations without the absolute value symbol

• Change the direction of the inequality

• Change the sign of the number inside the absolute value

• Divide both sides by the coefficient of x

When solving an absolute value inequality with a greater than symbol, the solution is represented as:

• An "or" expression

• An and expression

• A union of two intervals

• A single interval

For the inequality |2x + 5| > 11, what is the solution?

• x > 3 or x < -8

• x > 3 and x < -8

• x > 3 or x > -8

• x < 3 or x < -8

What is the solution to the inequality |3x - 4| ≤ 17?

• x ≤ 7 and x ≥ -13/3

• x ≤ 7 or x ≥ -13/3

• x ≥ 7 or x ≤ -13/3

• x ≥ 7 and x ≤ -13/3

In the inequality |3x + 5| < -3, what is the solution?

• No solution

• x < -3

• x > -3

• x = -3

For the inequality |4x - 3| > -4, what is the solution?

• All real numbers

• x > 0

• x < 0

• x = 0

When should you write two expressions for an absolute value inequality?

• After isolating the absolute value symbol and determining "and" or "or" statement

• Before solving the inequality

• When the inequality has a greater than symbol

• When the inequality has a less than symbol

What is the correct order of steps to solve an absolute value inequality?

• Isolating the absolute value symbol, determine "and" or "or" statement, write two expressions, solve each inequality

• Write two expressions, get rid of numbers outside the absolute value symbol, solve each inequality

• Solve each inequality, write two expressions, get rid of numbers outside the absolute value symbol

• Solve each inequality, get rid of numbers outside the absolute value symbol, write two expressions