Solving and graphing an inequality with infinite many solutions

The video tutorial demonstrates how to solve an absolute value inequality with double parentheses. The instructor applies distributive properties to simplify the equation and then isolates the variable to solve the inequality. After solving, the instructor analyzes the solution to confirm its validity, concluding that the inequality holds true for all real numbers. The tutorial ends with a discussion on graphing the solutions, emphasizing that all real numbers are solutions.

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

• Subtract 18 from both sides

• Divide both sides by 9

• Add 9X to both sides

• Apply the distributive property

What happens when you subtract 9X from both sides of the inequality?

• You get a false statement

• The value of X is determined

• You are left with 818 > -27

• The inequality becomes an equation

Why does the inequality hold true for any value of X?

• Because 9X is always positive

• Because adding 2 is always greater than subtracting 3

• Because the inequality is an equation

• Because X is always zero

What conclusion does the instructor reach about the solutions to the inequality?

• There are no solutions

• There is only one solution

• There are infinite solutions

• The solutions are negative

What does the graph of the solutions look like?

• A parabola

• A line with a positive slope

• A single point

• All real numbers