Problem

Solve $5 x-3<7$, when (i) $x$ is an integer. (ii)…

Problem 2 Easy Difficulty

Solve $-12 x>30$, when
(i) $x$ is a natural number.
(ii) $x$ is an integer.

Answer

Related Courses

Algebra

NCERT Class 11 - Math

Chapter 6

Linear Inequalities

Section 1

Introduction

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 6

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Video Transcript

Hey, what's up, guys? Eric, today I'm gonna be walking. Guys did. How'd you solve this? In a quality over here. So I'm gonna head. That's attracted 12 from both sides to give ourselves expert minus X minus 12 0 So does this mean no? As you can't figure out, you can't see the shape already. Well, this is one of our basic standard for him for secondary problem a X squared plus B plus plus B explosive and have grafted over here. Brett s o where you asked. Essentially, in our little shape here, when is this red shape greater than zero? Okay, when is this red shape above the X axis? Now, if you do a little bit of factoring, get ourselves you see if fractures of 12 here are 3 to 334 to six. But the only combination that gives us minus X is minus four plus three. So a factor X minus four corner need times X plus three right in his ear. Now this gives ourselves zeros of positive four and negative three. If you solve this, using is the is Europe zero product property. And since you know this is a positive, uh, positive coefficient in front of the X squared. And, you know, it was gonna be, uh, con cave up. How could a ship like this You can already see it from our right here. So the domain of which a domain of X that pumps out positive solutions to this inequality is gonna be negative. Infinity to negative three and then not in between three and four include name. We're not including making three, right, cause it's gonna be equal to zero at greater than zero. And then from positive for two and drag decision. That's final answer. Yeah, extraction.

Get More Help with this Textbook