Problem

Solve the inequalities in Exercises 5 to 16 for r…

Problem 4 Easy Difficulty

Solve $3 x+8>2$, when
(i) $x$ is an integer.
(ii) $x$ is a real number.

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

According to the question, We have to solve the equation model. Pick this one up on explicit equals two upon three. No, we should remember that the denominator can never because zero so explicit should not because they're all extra, not vehicles minus off eight. Now more than experts one upon more. Top experts say it can. Britain is Morning Express one upon model X plus aid equals two upon three, and upon cross multiplication, this will become three multiplied. We mourn off experts. One equals true, multiplied by a model X plus eight. Now we can solve this problem, but we have protect three different cases. So case one come in X plus eight is less than zero or X is less than minus off a case two. When X plus one is zero on X plus, eight is greater than zero. Or we can say when X is rather than equals minus or fade and Liz, then minus or fun. And finally kiss. When would the mort are positive? Ladies X. This one is where the Dan zero or exes with Dan equals minds off one. So these are the tree quite cases on. We have to solve it accordingly. So for the first case, Morning Express eight will be negative on more of experts. One will be okay. More of X plus one. What should be developed more of X plus one. The more typical X plus one is greater than zero when X is with a then minus off one. Right, So for excess less than minus eight, we will have foot demarte has negative, so this will become minus off. Three multiplied by X plus one equals minus off to multiplied by X plus a. Why negative? Because see for any value which is less than mine sulfate Suppose minds of pain. Two c x plus one is minus off 10 plus one minus off line, which is a negative value. But we know that model. Its function is always positive, so we have to add a negative sign before it. Similarly, for X Plus eight for any valuables than minds off, eight devalues dangling And since it is a marvelous function, so it will always come out as politically, so we have to add a negative value in front of it, so negative multiplied winning become a positive value, so this will become Syrians in both sides of the equality we have minus signs. So upon multiplying both sides of the quality by minus or fun, we will have three or six plus one equals two multiplied reckless eight. So three X plus three pick was Who is the 16 so three X minus two x will become X on 16. Ministry will become 30 so x equals 30 is our required answer from this case. But this is not the final step we have to take whether our answer is lies within the given ring. Our dangerous X is less than minus afraid, but X is 13 in this case, so it doesn't lies within the range. So from this part of the question, our solution will be fine. That is, we will have no solution. Now let's solve case number two. So for test number two, more of explosive will be positive, whereas more of express one will be negative. So this will become minus up. Three multiplied by X plus one equals two multiplied by X plus eight. So minds off three x minus of three calls to extra 16. So this will become five picks equals minus off 19 all equally valuable tips off the quality. By five, we will have X equals minus off. 19 upon fight. Now X equals minus of 19 upon five. Will someone become three minus off three point something and minus of three point. Something lies within a given range that is, from minus eight to minus one. The X equals minus of 19 upon five is one of the answer. Now that's all. The final case when X is really identical minus of one when X is greater identical minds off on then both these. Both these models function with positive, so it would become three military experts one and calls to multiplied by X plus eight. And upon further simplification, we will get X equals studying because it is exactly similar to this. Ah, simplification. Right. So X equals study now say X equals studying lives within the given range because in this case, X is great identical minds off one that is X texts all positive values. And here Alexis posted. So this is also on a poor answer. So the answer off this question will be X equals minus off 19 upon five on X equals 13. So we have two different answers which satisfies is too given equation

We have video lessons for 83.41% of the questions in this textbook