Easy way to solve and graph a compound inequality with OR

The video tutorial explains how to solve and graph compound inequalities using the 'or' condition. It covers solving each inequality separately using inverse operations, graphing the solutions, and verifying them with test points. The tutorial emphasizes the importance of including both solutions in the final graph and provides a step-by-step guide to ensure accuracy.

What is the key characteristic of a compound inequality involving 'or'?

• It only applies to equations, not inequalities.

• It cannot have any solutions.

• It requires at least one of the conditions to be true.

• It requires both conditions to be true simultaneously.

When solving the inequality 2x - 3 ≤ -4, what is the first step?

• Multiply both sides by 2.

• Add 3 to both sides.

• Subtract 3 from both sides.

• Divide both sides by 2.

After solving the inequality 3x + 1 ≥ 4, what is the solution for x?

• x ≥ 1

• x ≥ 3

• x ≤ 3

• x ≤ 1

How do you determine which direction to shade on a number line for the inequality x ≤ -1/2?

• Do not shade at all.

• Shade to the right of -1/2.

• Shade both sides of -1/2.

• Shade to the left of -1/2.

What is the purpose of using test points when graphing inequalities?

• To calculate the midpoint.

• To find the exact solution.

• To determine the slope of the line.

• To verify the direction of shading.