Question

Solve the compound inequality

Solve the compound inequality

Solve the compound inequality

Solve the absolute value equation

Solve the absolute value equation

Solve the absolute value equation

Solve the absolute value equation

Solve the inequality

Solve the inequality

Solve the inequality

Answer 1

1)

-20 + 5 5x 5 + 5

-155x10

-3x2

you can write this as [-3,2]

2)

x3 or 5x > 9 + 26

               5x>35

                 x> 7

you can write this as [3,) (7,)

3)

this is already solved. So, you can write this as (-1,3)

4)

31 - 4x = 18and          31-4x= -18

31-18 =4x                   31+ 18 = 4x  

13/4 =x                        49/4= x

3.25 =x                        12.25= x

So the solution are x = 3.25 and x = 12.25

5)

12x - 5 = 17 and       12x- 5 = -17

12x = 17 +5               12x= -17 + 5

x =22/12                        x= -12/12

                                       x= -1

So the solution are x = 22/12 and x = -1

6)

15n + 11 = 0

15n = -11

n = -11/15

7)

8v + 5 = -4 and       8v +5 = 4

8v =-4-5                 8v= 4 - 5

v =-9/8                     v= -1/8

So the solution are x = -9/8 and x = -1/8

8)

-13<2x-7<13

-13 + 7 < 2x < 13 + 7

-6<2x<20

-6/2

-3

9)
x + 6 - 13 or x + 6 13

x -13 + 6      x 13 - 6

x -7               x7

10)

20< 4x - 4 < -20

20 + 4 < 4x < -20 + 4

24<4x < -16

24/4 < x < -16/4

6

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