How to write the domain in interval notation with radical in numerator and denominator

The video tutorial covers solving radical restrictions and inequalities. It begins by explaining the setup of inequalities involving radicals and denominators. The instructor then demonstrates solving these inequalities step-by-step, including algebraic manipulations. The tutorial concludes with graphing the inequalities and discussing the domain, emphasizing compound inequalities and their intersections.

What must be true for an expression under a radical to be valid?

• It must be less than zero.

• It must be greater than or equal to zero.

• It must be greater than zero.

• It must be equal to zero.

When solving inequalities, what is the first step after setting up the restrictions?

• Graph the inequalities.

• Combine the inequalities.

• Solve each inequality separately.

• Ignore the inequalities.

How do you represent the solution of an inequality on a number line?

• With a series of dots.

• With a dashed line.

• With a shaded region.

• With a solid line.

What is the domain of a function in terms of inequalities?

• The intersection of all inequalities.

• The difference of all inequalities.

• The union of all inequalities.

• The sum of all inequalities.

How is the domain of a function typically written?

• In set notation.

• In list form.

• In interval notation.

• In equation form.