Radical Inequalities | math4u.vsb.cz

Submitted by michaela.bailova on Tue, 05/21/2024 - 17:24

Project ID:

7100020086

Accepted:

SubArea:

Radical equations and inequalities

Type:

Layout:

Question:

Every pair you are looking for is an inequality and its solution set.

Question 1:

\sqrt{x - 1} > 1

Answer 1:

(2; + \infty)

Question 2:

\sqrt{x - 1} < 1

Answer 2:

[1; 2)

Question 3:

\sqrt{2 x - 1} < 1

Answer 3:

[\frac{1}{2}; 1)

Question 4:

\sqrt{3 x + 1} < 2

Answer 4:

[- \frac{1}{3}; 1)

Question 5:

\sqrt{x^{2} + 1} \geq 1

Answer 5:

R

Question 6:

\sqrt{2 x - 1} > 1

Answer 6:

(1; + \infty)

Question 7:

\sqrt{x^{2} + 2} < 1

Answer 7:

\emptyset

Question 8:

\sqrt{x^{2} + 3} > 2

Answer 8:

R ∖ [- 1; 1]

Question 9:

\sqrt{x^{2} + 1} > 1

Answer 9:

R ∖ {0}