Express the following sets in the interval notation:(i) Set of real numbers between -3 and 5, inclusive.(ii) {𝒙 ∣ 𝒙 > 𝟎}(iii) Set of all real numbers 𝒙 such that 𝒙 is greater than 2 or 𝒙 is less than -5.(iv) {𝒙 ∣ 𝒙 ≤ −𝟏}(v) {𝒙 ∣ −𝟑 ≤ 𝒙 < 𝟐}

Solve the following compound inequalities. Use both a line graph and interval notation to write each solution set.4⁢𝑥-3<-2   or   4⁢𝑥-3>2

Representation of {x: x∈R, -3<x≤ 8}as interval is

Describe the range of the following absolute value function:𝑓(𝑥)=|𝑥+3|−5𝑓(𝑥)=|𝑥+3|−5The range is: 𝑦𝑦 Answer 1 Question 8 Answer 2 Question 8

Consider the following inequality:4x+3≥2x+54𝑥+3≥2𝑥+5Step 1 of 2: Write the solution using interval notation.

The function𝑓(𝑥) is graphed below.In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing.