Solving and graphing a absolute value inequality with infinite many solutions

The video tutorial explains how to solve absolute value inequalities by creating two cases and forming a compound inequality in the OR fashion. It demonstrates the steps to solve the inequality, including subtraction and division, and how to graph the solutions. The tutorial concludes by showing that the solution includes all real numbers.

What is the first step in solving an absolute value inequality?

• Graph the inequality on a number line

• Create two separate cases

• Add the same number to both sides

• Multiply both sides by a constant

When forming a compound inequality from an absolute value inequality, what type of compound inequality is created if the absolute value is greater than or equal to a number?

• OR

• XOR

• NOR

• AND

What operation is performed to isolate the variable in the inequality 2X + 1 ≥ -9?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

How are the solutions of the inequalities represented on a graph when using the 'OR' condition?

• Only the larger solution is graphed

• Both solutions are graphed separately

• Only the smaller solution is graphed

• Only the intersection of the solutions is graphed

What is the final solution set for the compound inequality discussed in the video?

• No solution

• Only negative numbers

• All real numbers

• Only positive numbers