160k views
12 votes
PLEASE HELP I GIVE 29 POINTS TO WHOEVER GETS THIS RIGHT

1) 7 < 3 - 2x

2) 8(x-1) - 1 < 6x - 1

3) 9x + 1 > 2x - 1
4

4) 8y - 3y + 1 < 29

5) 3x + 1 > 2x + 7

6) -7y - 4 < 6 + 2y

7) x - 1 < x + 3
3 2

8) 2x - 1 > 4 - 1/2x

9) 8x < 5(2x+4)

10) -3y - 6 < 3(7+2y)

11) 4 - 5(y - 2) < -2(-9 + 2y)

12) 12 (1/4 + x/3) > 15

13) -3 (4x - 8 ) > 2( 3 + 2x)

14) 5x < 10 + 2(3x - 4)

15) -8h + 5 > -23

User Jaael
by
8.5k points

2 Answers

6 votes

Direction: Isolate the variable by dividing each side by factors that don't contain the variable.

Here are the answers for all 15 questions:

1) x < - 2

2) x < 4

3) x > - 15/7

4) y < 28/5

5) x > 6

6) y > - 10/9

7) 0 < 333

8) x > 2

9) x > - 10

10) y > - 3

11) y > - 4

12) x > 3

13) x < 9/8

14) x > - 2

15) h < 7/2

User Radj
by
7.8k points
7 votes

Answer:

See below.

Explanation:

1) 7 < 3 - 2x

4 < -2x

2x < -4

x < -2

2) 8(x-1) - 1 < 6x - 1

8x - 8 - 1 < 6x - 1

8x - 8 < 6x

2x < 8

x < 4

3) 9x + 1 > 2x - 1

7x > -2

x > -2/7

4) 8y - 3y + 1 < 29

5y < 28

y < 28/5

5) 3x + 1 > 2x + 7

x > 6

6) -7y - 4 < 6 + 2y

-9y < 10

y > -10/9

7) x - 1 < x + 3

0 < 4

True for all values of x.

8) 2x - 1 > 4 - 1/2x

2.5x > 5

x > 2

9) 8x < 5(2x+4)

8x < 10x + 20

-2x < 20

x > -10

10) -3y - 6 < 3(7+2y)

-3y - 6 < 21 + 6y

-9y < 27

y > -3

11) 4 - 5(y - 2) < -2(-9 + 2y)

4 - 5y + 10 < 18 - 4y

-5y + 14 < 18 - 4y

-y < 4

y > - 4

12) 12 (1/4 + x/3) > 15

3 + 4x > 15

4x > 12

x > 3

13) -3 (4x - 8 ) > 2( 3 + 2x)

-12x + 24 > 6 + 4x

-16x > -18

x < 18/16

x < 9/8

14) 5x < 10 + 2(3x - 4)

5x < 10 + 6x - 8

-x < 2

x > -2

15) -8h + 5 > -23

-8h > -28

h < 28/8

h < 7/2

User HaggarTheHorrible
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories