Inequalities with radicals in practice

The following exercises are solved in this step.

We invite you to try to solve them before watching the video.

In any case, you will find below a PDF file with the solutions.

Exercise 1.

Solve the following inequality: [sqrt{9x^2+18x} > 3x+2]

Exercise 2.

Solve the following inequality: [sqrt{x^2+1} leq frac{x}{2} -1]

Exercise 3 [Solved only in the PDF file].

Solve the following inequality: [sqrt[3]{x-1}>sqrt[3]{5-x}.] (Recall that in this course the cubic root is defined just on ([0,+infty[))