Can someone please answer these questions? And explain how you got your answer? Much appreciated! Thanks :)?

1. Solve each inequality 16x < 96

A. x < 6

B. x < 36

C. x > 16

D. x = 6

E. x < 14

F. x > 36

2. -y <= 44

A. y <= -44

B. y >= -44

C. y <= 44

D. y >= 44

E. y <= -1/44

F. y >= -22

3. -8z >= -72

A. z >= 1/9

B. z >= -9

C. z >= 8/9

D. z <= -9

E. z <= 8/9

F. z <= 9

4. -102 > 17r

A. r > -119

B. r <= -119

C. r > -17/102

D. r < -6

E. r > -85

F. r < -85

5. 396>-11t

A. t > -36

B. t < 385

C. t <= 407

D. t > 385

E. t > -385

F. t > -11/396

6. -15a < -28

A. a < 13

B. a < -13

C. a > 28/15

D. a < 28/15

E. a > -28/15

F. a > 13

7. 4c >= -6

A. c >= 10

B. c >= -3/2

C. c <= -10

D. c >= -10

E. c <= 3/2

F. c >= 3/2

8. 6 <= 0.8n

A. n >= 7.5

B. n <= 4.8

C. n >= 4.8

D. n <= 7.5

E. n <= 7.3

F. n >= 7.3

9. -4.3x < -2.58

A. x < 0.6

B. x > -0.6

C. x < -0.6

D. x > 0.6

E. x < -1.66

F. x < 1.66

10. b / -12 <= 3

A. b <= -36

B. b <= 1/4

C. b >= 1/4

D. b >= -36

E. b <= -15

F. b >= 9

11. -25 > a/-6

A. a < 150

B. a > 25/6

C. a <= 25/6

D. a < 19

E. a > 150

F. a > -31

12. 13 >= t/13

A. t <= 1

B. t <= 0

C. t >= 0

D. t <= 169

E. t <= 26

F. t >= -26

13. (2/3)m >= -22

A. m >= 44/3

B. m >= -66

C. m <= -33

D. m >= 134

E. m >= -33

F. m <= 134

14. -(7/9)x < 42

A. x > -54

B. x < 26

C. x > 196

D. x < -16

E. x > 13

F. x < 108

15. 3y/8 <= 32

A. y >= 35/8

B. y <= 4/3

C. y >= 4/3

D. y >= 0.75

E. y < 0.75

F. y <= 85.333

16. -5x < -25

A. x < 7/12

B. x > 0.2626

C. x < -5/18

D. x > -4/15

E. x < 36

F. x > 5

17. -(2/5) > 4z

A. z < -20

B. z < -7/5

C. z < 28/5

D. z < 63

E. z < -0.1

F. z > -9/14

18. 3b/4 <= 2

A. b <= 8/3

B. b <= 72

C. b >= 15/4

D. b <= 1/12

E. b >= 3/4

F. b >= 0.75

19. Write an inequality and solve. Six times a number is less than 216.

A. x >= 21

B. x <= 36

C. x <= 58

D. x >= 16

E. x <= 210

F. x >= 222

20. Write an inequality and solve. A number divided by negative 4 is no less than -2.

A. x > -8

B. x < 16

C. x <= 0.5

D. x < -8

E. x >= -16

F. x <= 8

3 Answers

Relevance
  • 9 years ago
    Favorite Answer

    1)

    16x < 96

    x < 96/16

    x < 6 <---- A

    ------

    2)

    -y ≤ 44

    y ≥ - 44 <--- B

    --------

    3)

    -8z ≥ -72

    z ≤ -72/-8

    z ≤ 9 <---- F

    --------

    4)

    -102 > 17r

    -102/17 > r

    -6 > r <---- D

    ------

    5)

    396 > -11t

    396/-11 < t

    -36 < t <---- A

    --------

    6)

    -15a < -28

    a > -28/-15

    a > 28/15 <---- C

    --------

    7)

    4c ≥ -6

    c ≥ -6/4

    c ≥ -3/2 <---- B

    --------

    8)

    6 ≤ 0.8n

    6 ≤ 8n/10

    60/8 ≤ n

    15/2 ≤ n <---- A

    ---------

    9)

    -4.3x < -2.58

    x > -2.58/-4.3

    x > 0.6 <---- D

    -------

    10)

    b / -12 ≤ 3

    b ≥ -36 <---- D

    ------

    11)

    -25 > a/-6

    -25(-6) < a

    150 < a <---- E

    --------

    12)

    13 ≥ t/13

    169 ≥ t <----- D

    --------

    13)

    (2/3)m ≥ -22

    m ≥ -66/2

    m ≥ -33 <---- E

    ---------

    14)

    -(7/9)x < 42

    x > 42*-9/7

    x > 6*-9

    x > -54 <---- A

    --------

    15)

    3y/8 ≤ 32

    3y ≤ 32 * 8

    y ≤ 32 * 8/3

    y ≤ 85 (1/3) <---- F

    ---------

    16)

    -5x < -25

    x > 5 <----- F

    --------

    17)

    -(2/5) > 4z

    -(2/(5*4)) > z

    -(2/20) > z

    -(1/10) > z <---- E

    --------

    18)

    3b/4 ≤ 2

    3b ≤ 8

    b ≤ 8/3 <---- A

    -----

    19)

    Six times a number is less than 216.

    6 . . .* . . . .. x. . . .. < . . . 216

    6x < 216

    x < 36 <----- none

    ----------

    20)

    A number divided by negative 4 is no less than -2.

    . . . .x. . . . ./. . . .. . .-4. . .. . . . . ≥ -2

    x/-4 ≥ -2

    x ≤ 8 <----- F

    ======

    free to e-mail if have a question

  • 4 years ago

    a million we are made out of atoms that are no longer alive, so we come from non existence interior the 1st place. there is likewise the question of what defines existence, if its something that could self mirror, I comprehend that scientists have already made self replicating DNA with 7 components quite than the time-honored 5. there is likewise the virus which in one state is alive, in others no longer alive, so the borderline isn't as different as you would be able to think of. 2.Evolution would not inevitably paintings in a at modern line. An ancestral species would proceed to exist in one section, on an identical time as in yet another individuals of an identical species would evolve right into a daughter species. it is the only time in human background that we are the only homind inhabiting the planet, we used to have a number of appropriate species sharing the planet with us. 3. There are a number of theories as to what brought about the great bang, look up m-concept and quantum loop gravity.

  • 9 years ago

    Okay, I'm not going to answer all of the questions, but I'll do half of them. That seems fair. I'll explain as I go along.

    1.) 16x<96

    First you divide by the 16 and bring it to the other side. Then, you take 96/16 which is 6. Your answer is then x<6, which is A.

    Now, when you are dividing by a negative number, it's a little different.

    2.)-y<=44

    The only thing you have to do on this one is divide by the -. On the left side the -y is just like a -1y. So you divide by a negative one. So 44 divided by a negative one is a -44. However, when you divide by a negative number you have to switch the <= to a >=. Don't ask me why because it's just how it works. ( If you don't believe me, I took Algebra 1 this year.) So, the answer is y>=-44, which is B.

    3.) -8z>= -72

    First, you divide by a -8. -72/-8= 9. Because you divided by a negative, you have to flip the sign. Therefore, z<=9, which is F.

    My parents said that I can only do one more. Sorry. I'll do #10. because it's a little different.

    10.)b/-12<=3

    First, you muliply a -12 because you do the oppposite of what they're doing(division). So -12(3)= -36

    You flip the sign, and the answer is b>= -36.

    Hope this helps. Algebra was hard until it finally just clicked.

    ^^ Maylin

    Source(s): Algebra class**
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