Question

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

Answer 1

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

Answer 2

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