Solving an absolute value inequality by switching the signs

The video tutorial explains how to solve absolute inequalities by setting up positive and negative equations. It emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial provides step-by-step instructions to solve the inequality and interpret the solution, including a brief mention of graphing the results.

What must you remember to do when solving absolute inequalities involving multiplication or division by a negative number?

• Subtract a constant from both sides.

• Keep the inequality sign the same.

• Flip the inequality sign.

• Add a constant to both sides.

When setting up an absolute inequality, what two scenarios must you consider?

• Positive and zero

• Zero and infinity

• Negative and zero

• Positive and negative

What is the first step in solving the inequality 5X + 2 > 23?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 5

• Divide both sides by 5

After solving the inequality, what is the solution for X in terms of intervals?

• X > 21/5 or X < -5

• X < 21/5 and X > -5

• X = 21/5 or X = -5

• X > 21/5 and X < -5

If you were to graph the solution of the inequality, which values would be included?

• Values greater than -5 and less than 21/5

• Values equal to -5 and 21/5

• Values less than -5 and greater than 21/5

• Values between -5 and 21/5