Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, NEET
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
CBSE XI
>>
Math
>>
Linear Inequalities
0
votes
Solve the given inequality and show the graph of the solution on number line: $ 3x-2 <2 x +1$
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q17
Share
asked
Jul 26, 2014
by
meena.p
edited
Jul 28, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Toolbox:
Same Quantity can be added (a subtracted ) to (from ) both sides of the inequality with out changing the sign of the in equality.
Same positive quantities can be multiplied or divided to both side of the in equality with out changing the sign of the inequality.
If same negative quantity is multiplied or divided to both sides of the inequality is reversed i.e $ '>'$ sign changes to $'<' $ and $'<'$ changes $'>'$ .
To represent solution of linear inequality involving one variable on a number line, if the inequality involves $\geq $ or $\leq$ are draw filled circle (0) on the number is included in the solution set.
If the inequality involves $'>'$ or $'<'$ we draw open circle (0) on the number line to indicate the number is excluded from the solution set.
The given inequality is $3x-2 < 2x+1$
Adding +2 and -2x on both sides of the inequality .
=> $ 3x-2x <1+2$
$x <3$
Step 2:
All numbers less than 3 from the solution set for the given inequality $(-\infty,3)$
The graphical representation on the number line is
http://clay6.com/mpaimg/cbse%20m1.jpg
answered
Jul 26, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
Solve the given inequality and show the graph of the solution on number line: $ 5x-3 < 3x -5$
asked
Jul 28, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q18
0
votes
1
answer
Solve the given inequality and show the graph of the solution on number line: $ \large\frac{x}{2} <\frac{(5x-2)}{3} - \frac{(7x-3)}{5}$
asked
Jul 28, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q20
0
votes
1
answer
Solve the given inequality and show the graph of the solution on number line: $ 3(1-x) <2 (x +4)$
asked
Jul 28, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q19
0
votes
1
answer
Solve the inequality for real $x, \large\frac{x}{3} > \frac{x}{2} $$+1$
asked
Jul 25, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q10
0
votes
1
answer
Solve the inequality for real $x: \large\frac{(2x-1)}{3} \geq \frac{(3x-2)}{4} -\frac{(2-x)}{5}$
asked
Jul 26, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q16
0
votes
1
answer
Solve the inequality for real $x: \large\frac{1}{2} \bigg(\large\frac{3x}{5} +4 \bigg) $$ \geq \large\frac{1}{3} $$(x-6)$
asked
Jul 25, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q12
0
votes
1
answer
Solve the inequality for real $x: 3x-7 > 4x -5$
asked
Jul 25, 2014
by
meena.p
cbse
math
class11
ch6
linear-inequalities
exercise6-1
q6
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...