Question

which of the following is the inverse relation of the set?
\\(\\{(5, -2), (3, -3), (4, 6), (-1, -7)\\}\\)

a) \\(\\{((2, -5), (3, -3), (-6, -4), (7, 1))\\}\\)
b) \\(\\{((-3, 5), (-2, 3), (-1, 4), (-7, 6))\\}\\)
c) \\(\\{((-4, 10), (-6, 6), (12, 8), (-14, -2))\\}\\)
d) \\(\\{((-2, 5), (-3, 3), (6, 4), (-7, -1))\\}\\)

question 2 (5 points)
use the properties of exponents to simplify the expression: \\(2^{\frac{1}{2}} \times 2^{\frac{3}{2}}\\)

a) \\(\sqrt{2}\\)
b) 8
c) 2
d) 4

question 3 (5 points)
solve the inequality \\(\sqrt3{x+2} > -1\\).

a) \\(x < -3\\)
b) \\(x > -1\\)
c) \\(x < -1\\)
d) \\(x > -3\\)

Explanation:

Find the inverse relation of the set

$$
LATEXBLOCK0
$$

Simplify the exponential expression

$$
LATEXBLOCK1
$$

Solve the radical inequality

$$
LATEXBLOCK2
$$

Answer:

Question 1

• A) \(\{(-2, -5), (3, -3), (-6, -4), (7, 1)\}\)
• B) \(\{(-3, 5), (-2, 3), (-1, 4), (-7, 6)\}\)
• C) \(\{(-4, 10), (-6, 6), (12, 8), (-14, -2)\}\)
• D) \(\{(-2, 5), (-3, 3), (6, 4), (-7, -1)\}\) (Correct answer)

Question 2

• A) \(\sqrt{2}\)
• B) 8
• C) 2 (Correct answer)
• D) 4

Question 3

• A) \(x < -3\)
• B) \(x > -1\)
• C) \(x < -1\)
• D) \(x > -3\) (Correct answer)