Question

Solve each linear inequality. $$-5 x \leq 30$$

   Solve each linear inequality.
$$-5 x \leq 30$$

Precalculus

Robert Blitzer 6th Edition

Chapter 0, Problem 32

Instant Answer

Solved by Expert Erika Bustos

08/21/2021

Step 1

Step 1: First, we have the inequality $-5x \leq 30$. Show more…

Show all steps

lock

Thanks for your feedback!

Solve each linear inequality. $$-5 x \leq 30$$

Play audio

Feedback

Powered by NumerAI

Erika Bustos and 93 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Inequalities

Linear inequalities are mathematical expressions involving a linear function with an inequality symbol (such as ?, ?, <, or >) instead of an equal sign. They describe a range of possible solutions, often represented as intervals on the number line, rather than a single value. Solving linear inequalities involves finding all values of the variable that make the inequality true.

Properties of Multiplying or Dividing by Negative Numbers

When solving inequalities, a fundamental property is that multiplying or dividing both sides of an inequality by a negative number requires flipping the inequality sign. This rule ensures that the relationship between the sides remains valid, as reversing the order of numbers on the number line occurs under multiplication or division by a negative number.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later