Domain of a radical function in interval notation

The video tutorial explains how to handle radicals in mathematical expressions, focusing on solving inequalities where the expression under the radical must be non-negative. It demonstrates solving these inequalities and representing solutions on a number line. The tutorial also covers the graphical interpretation of these solutions, emphasizing the importance of including or excluding endpoints in interval notation.

What must be true about the expression under a radical for it to be valid?

• It must be less than zero.

• It must be greater than zero.

• It must be greater than or equal to zero.

• It can be any real number.

What is the solution to the inequality X + 5 ≥ 0?

• X > -5

• X ≤ -5

• X ≥ -5

• X < -5

When solving X + 5 ≥ 0, why is -5 included in the solution set?

• Because it makes the expression positive.

• Because it makes the expression negative.

• Because it makes the expression zero.

• Because it is not a boundary value.

How is the solution to X + 5 ≥ 0 represented on a number line?

• With an open dot at -5 and shading to the right.

• With a closed dot at -5 and shading to the left.

• With a closed dot at -5 and shading to the right.

• With an open dot at -5 and shading to the left.

In interval notation, how is the solution to X + 5 ≥ 0 expressed?

• (-∞, -5]

• [-5, ∞]

• [-5, ∞)

• (-5, ∞)