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18. −6>4+5x 20.-12 ≤-3x

18. −6>4+5x 20.-12 ≤-3x

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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Find the values of x that satisfy the inequalities. 

### Solving Inequalities Here are two inequalities to solve. Let's go through each one step-by-step: **Inequality 18:** \(-6 > 4 + 5x\) To solve this inequality, follow these steps: 1. Subtract 4 from both sides: \(-6 - 4 > 5x\) \(-10 > 5x\) 2. Divide both sides by 5: \(-2 > x\) The solution is \(x < -2\). --- **Inequality 20:** \(-12 \leq -3x\) To solve this inequality, follow these steps: 1. Divide both sides by \(-3\) and reverse the inequality sign: \(4 \geq x\) The solution is \(x \leq 4\). --- ### Summary - For Inequality 18, the solution is \(x < -2\). - For Inequality 20, the solution is \(x \leq 4\). Understanding how to manipulate and solve inequalities is important in algebra and day-to-day problem-solving.
Transcribed Image Text:### Solving Inequalities Here are two inequalities to solve. Let's go through each one step-by-step: **Inequality 18:** \(-6 > 4 + 5x\) To solve this inequality, follow these steps: 1. Subtract 4 from both sides: \(-6 - 4 > 5x\) \(-10 > 5x\) 2. Divide both sides by 5: \(-2 > x\) The solution is \(x < -2\). --- **Inequality 20:** \(-12 \leq -3x\) To solve this inequality, follow these steps: 1. Divide both sides by \(-3\) and reverse the inequality sign: \(4 \geq x\) The solution is \(x \leq 4\). --- ### Summary - For Inequality 18, the solution is \(x < -2\). - For Inequality 20, the solution is \(x \leq 4\). Understanding how to manipulate and solve inequalities is important in algebra and day-to-day problem-solving.
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