/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 29 Solve each inequality. Describe ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 29 (page 51)

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

-12<7d-5鈮�9

Short Answer

Expert verified

Solution set of inequality is (-1,2].

Solution set on number line is

Step by step solution

01

Step 1. Write properties of inequality.

Properties of inequalities are written in following table:

02

Step 2. Solve -12<7d-5≤9.

To solve given inequality, use subtraction and division properties of inequality. Add 5 on each side then divide each side by 7 and simplify.

鈭�12+5<7d鈭�5+5鈮�9+5鈭�77<7d7鈮�147鈭�1<d鈮�2

Thus, solution is -1<d鈮�2.

03

Step 3. Describe solution set in interval notation.

Assolution set of the inequality is all real numbers greater than -1 or less than or equal to 2.

Write the solution set in interval notation.

(-1,2]
04

Step 4. Graph the solution set.

Open circle on -1 shows this point is excluded in the solution set and closed circle on 2 shows this point is included in the solution set.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write expressions having values from one to ten using exactly four 4s. You may use any combination of the operation symbols +,-,脳,梅,and/or grouping symbols, but no other numbers are allowed. An example of such an expression with a value of zero is 4+4-4+4

Name the property illustrated by each equation.

23+53=2+53

The formula for the area of a circle with diameter d is A=蟺d22. Write an expression to represent the area of the circle.

Evaluate each expression ifw=6,x=0.4,y=12, andz=-3

48.x-y2-2wz

Simplify each expression

35c+4d+6d-2c
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.