I don’t know if I did all correct but I need help ### Understanding Inequalities and Intervals#### 3. Graph the Inequality -4 < x ≤ -1To graph the inequality \(-4 < x \leq -1\) on a number line:**Explanation:**- A number line ranging from -7 to 7 is depicted.- An open circle (indicating that -4 is not included) is placed at -4.- A closed circle (indicating that -1 is included) is placed at -1.- A dark, continuous thick line connects the two circles between -4 and -1, representing all the values x can take.**Interval Notation:** The solution in interval notation is \((-4, -1]\).#### 4. Graph the Interval \((-∞, 2]\)To graph the interval \((-∞, 2]\) on a number line:**Explanation:**- A number line ranging from -7 to 7 is depicted.- The graph includes all numbers from negative infinity up to, and including, 2.- This is represented by a dark continuous line starting from the left towards 2, with a closed circle at 2 (indicating that 2 is included).**Interval Notation:** The interval in notation form is \((-∞, 2]\).#### 5. Solve the Inequality and Express in Interval Notation: \(-3x + 4 \geq -8\)**Steps to Solve:**1. Start with the inequality: \[ -3x + 4 \geq -8 \]2. Subtract 4 from both sides: \[ -3x \geq -12 \]3. Divide by -3 (note that dividing by a negative number reverses the inequality sign): \[ x \leq 4 \]**Graphing:****Explanation:**- A number line ranging from -7 to 7 is depicted.- The graph includes all numbers less than and equal to 4.- This is represented by a dark continuous line starting from the left towards 4, with a closed circle at 4 (indicating that 4 is included).**Interval Notation:** In interval notation, this can be written as \((-\infty, 4]\).Understanding these graphs and notations is crucial for visualizing and comprehending the range

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3. Graph the inequality -4 < x < -1 on the number line below and express in interval notation. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 4. Graph the interval (-∞, 2] below: -7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 5. Solve the following inequality and express your answer in interval notation: -3r+4>-8 -7-6-5-4-3 -2 -1 0 1 2 3 - 4 5 67 @

3. Graph the inequality -4 < x < -1 on the number line below and express in interval notation. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 67 4. Graph the interval (-∞, 2] below: -7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 5. Solve the following inequality and express your answer in interval notation: -3r+4>-8 -7-6-5-4-3 -2 -1 0 1 2 3 - 4 5 67 @

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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