What happens to the domain with a radical in the denominator

The video tutorial covers rational expressions, focusing on the importance of the denominator not being zero. It explains how to solve inequalities involving radicals, emphasizing the need to adjust the inequality when the radical is in the denominator. The tutorial concludes with graphing the solution set of the inequalities, ensuring students understand the exclusion of certain values.

Why can't the denominator of a rational expression be zero?

• It makes the expression undefined.

• It makes the expression equal to zero.

• It makes the expression infinite.

• It makes the expression negative.

What is the first step in solving the inequality involving the radicand?

• Make the radicand less than zero.

• Ignore the radicand.

• Make the radicand greater than zero.

• Set the radicand equal to zero.

Why is the inequality changed to 'greater than' instead of 'greater than or equal to'?

• To avoid making the denominator zero.

• To simplify the equation.

• To include more solutions.

• To make the equation easier to graph.

What does the solution of the inequality represent on the graph?

• All values less than or equal to -1.5

• All values equal to -1.5

• All values less than -1.5

• All values greater than -1.5

Why are certain values excluded from the solution set?

• They are negative values.

• They are positive values.

• They make the numerator zero.

• They make the denominator zero.