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{x-2x ≥-6 or x + 5 > 12}

{x-2x ≥-6 or x + 5 > 12}

Algebra and Trigonometry (6th Edition)
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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The image contains a mathematical expression represented as a set notation: \[ \{ x \mid -2x \geq -6 \text{ or } x + 5 > 12 \} \] This notation describes a set of values \( x \) that satisfy either of the following inequalities: 1. \(-2x \geq -6\) 2. \(x + 5 > 12\) To solve these inequalities: 1. **For \(-2x \geq -6\):** - Divide both sides by \(-2\) (remembering to reverse the inequality sign): - \(x \leq 3\) 2. **For \(x + 5 > 12\):** - Subtract 5 from both sides: - \(x > 7\) Thus, the solution set includes all \( x \) such that \( x \leq 3 \) or \( x > 7 \).
Transcribed Image Text:The image contains a mathematical expression represented as a set notation: \[ \{ x \mid -2x \geq -6 \text{ or } x + 5 > 12 \} \] This notation describes a set of values \( x \) that satisfy either of the following inequalities: 1. \(-2x \geq -6\) 2. \(x + 5 > 12\) To solve these inequalities: 1. **For \(-2x \geq -6\):** - Divide both sides by \(-2\) (remembering to reverse the inequality sign): - \(x \leq 3\) 2. **For \(x + 5 > 12\):** - Subtract 5 from both sides: - \(x > 7\) Thus, the solution set includes all \( x \) such that \( x \leq 3 \) or \( x > 7 \).
**Hawkes Learning Platform: Lesson 7.9 Compound Inequalities** **Question 3 of 12, Step 1 of 2** **Consider the following compound inequality:** \[ |x| - 2x \geq -6 \quad \text{or} \quad x + 5 > 12 \] **Step 1 of 2: Write the solution using interval notation.** **Answer:** (This section is where the student would input the interval notation as a solution.) © 2022 Hawkes Learning
Transcribed Image Text:**Hawkes Learning Platform: Lesson 7.9 Compound Inequalities** **Question 3 of 12, Step 1 of 2** **Consider the following compound inequality:** \[ |x| - 2x \geq -6 \quad \text{or} \quad x + 5 > 12 \] **Step 1 of 2: Write the solution using interval notation.** **Answer:** (This section is where the student would input the interval notation as a solution.) © 2022 Hawkes Learning
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