stuck on how to approach this maths question

Gent2324

Badges: 18

Rep:

#1

Report Thread starter 9 months ago

#1

solve the following:
-2<x-3<5
1<x+1<9

Solve the following pairs of inequalities, find the integer value which satisfies both of them.
x-3>2 and 2x+1<15
1-2x<17 and (2-3x)/10 > 2
how do i do these types of questions im not to sure thanks

0

quote

reply

B_9710

Badges: 15

Rep:

#2

Report 9 months ago

#2

(Original post by Gent2324)
solve the following:
-2<x-3<5
1<x+1<9

Solve the following pairs of inequalities, find the integer value which satisfies both of them.
x-3>2 and 2x+1<15
1-2x<17 and (2-3x)/10 > 2
how do i do these types of questions im not to sure thanks

Can you solve inequalities on their own, so can you solve x-3>2 ?

0

quote

reply

Gent2324

Badges: 18

Rep:

#3

Report Thread starter 9 months ago

#3

(Original post by B_9710)
Can you solve inequalities on their own, so can you solve x-3>2 ?

yes x>5

0

quote

reply

Y12_FurtherMaths

Badges: 18

Rep:

#4

Report 9 months ago

#4

Whatever you do to one side of the inequality you must do to both. So for your first example: −2<α−3<5 add 3 to both sides do you get 1<α<8 where α is x

Posted on the TSR App. Download from Apple or Google Play

0

quote

reply

B_9710

Badges: 15

Rep:

#5

Report 9 months ago

#5

(Original post by Gent2324)
yes x>5

So solve each of the inequalities separately and then you can put them together.
For instance if I solve two inequalities and I get -1<x<6 and -2<x<5 combining these I'd get -1<x<5 and x must satisfy both inequalities.

0

quote

reply

Gent2324

Badges: 18

Rep:

#6

Report Thread starter 9 months ago

#6

(Original post by Y11_Maths)
Whatever you do to one side of the inequality you must do to both. So for your first example: −2<α−3<5 add 3 to both sides do you get 1<α<8 where α is x

ah ok i think i get it now, do you mean to add 3 on all 3 sides?

(Original post by B_9710)
So solve each of the inequalities separately and then you can put them together.
For instance if I solve two inequalities and I get -1<x<6 and -2<x<5 combining these I'd get -1<x<5 and x must satisfy both inequalities.

ah alright so for
1-2x<17 and (2-3x)/10 > 2

1<17+2x so -16<2x
-8<x

(2-3x)/10 > 2
2-3x > 20
2>20+3x
-18>3x
-6>x
so the is the final inequality -8<x<-6

0

quote

reply

Y12_FurtherMaths

Badges: 18

Rep:

#7

Report 9 months ago

#7

(Original post by Gent2324)
ah alright so for
1-2x<17 and (2-3x)/10 > 2

1<17+2x so -16<2x
-8<x

(2-3x)/10 > 2
2-3x > 20
2>20+3x
-18>3x
-6>x
so the is the final inequality -8<x<-6

stuck on how to approach this maths question Watch

Quick Reply

Today on TSR

Oops, nobody has posted
in the last few hours.

See more of what you like on
The Student Room

University open days

Poll

Were you ever put in isolation at school?

Watched Threads

Oops, nobody has posted
in the last few hours.

See more of what you like on
The Student Room

TSR Support Team

Get Started

Using TSR

Info

TSR Group

Connect with TSR

stuck on how to approach this maths question Watch

Quick Reply

Related discussions

Related university courses

Today on TSR

Oops, nobody has postedin the last few hours.

Oops, nobody is replying to posts.

See more of what you like onThe Student Room

University open days

Poll

Were you ever put in isolation at school?

Watched Threads

Spotlight

Oops, nobody has postedin the last few hours.

Oops, nobody is replying to posts.

See more of what you like onThe Student Room

TSR Support Team

Get Started

Using TSR

Info

TSR Group

Connect with TSR

Oops, nobody has posted
in the last few hours.

See more of what you like on
The Student Room

Oops, nobody has posted
in the last few hours.

See more of what you like on
The Student Room