Question

The number 5 is one of the solutions for the inequality 3x < 21.

True False



Solve x - 8 > -2.


x > -10

x > 6

x > 10

x > -6



Solve -4x > 12.
Answer

x > -3

x > -48

x < -3

x < -48



Solve the inequality, -3x - 2 < 5.
Answer

x < 7/3

x > -7/3

x < 1

x > -1

Answer 1

1. Plug in 5 for x and check

Answer 2

so that would be 15 and 21 is bigger then 15 soooo correct?

Answer 3

true

Answer 4

2. Add 8 on both sides

Answer 5

i dont get it :/

Answer 6

x - 8 > -2.
Adding 8 on both sides
x - 8 + 8 > -2.+ 8
Solve now

Answer 7

ohh i see

16x > 6

is this it?

Answer 8

its not multiplication, its addition

Answer 9

well 8+8 is 16 then add the x so 16x then -2 + 8 is 6???

Answer 10

nah, the first 8 has a ngative so both cancel out

(btw, 16 added to x is written as 16 + x and not 16x )

Answer 11

oh right :0 (u = smart, me = dumb :)

Answer 12

so

x > 6

Answer 13

hahaa, nah, u just need to learn it properly

and, yeah thats correct

Answer 14

3. is tricky
Divide by 4 to start with

Answer 15

what do i start with?

Answer 16

-4x > 12

divide both sides by 4

Answer 17

-4x divided by 4 = -1x > 3

Answer 18

yepp,
-1x > 3
can also be wriiten as
-x > 3

Anyways, now divide by -1

Answer 19

both sides? okay

x > -3

Answer 20

Yeh, the only change is that when you multiply or divide an inequality by a negative number, the sign changes

Answer 21

so x > -3?

Answer 22

nah, change the sign

Answer 23

opps, i thought i did lol x > 3

Answer 24

no, not that sign.
chnage > to <

Answer 25

damn x < -3

Answer 26

yepp, thats correct

Answer 27

Last one: -3x - 2 < 5.
1. Add 2 on both sides
2. Then, divide by 3
3. Then, divide by -1

Bingo!

Answer 28

@telltoamit i dont get this one :/

Answer 29

Okkay, lets take it one step at a time.

-3x - 2 < 5.

1. Add 2 on both sides

Answer 30

-3x - 2 + 2

Answer 31

5 + 2

Answer 32

yes, write in the form of inequality now

Answer 33

-3x - 3 +2 < 5 +2

Answer 34

i changed the symbol :D

Answer 35

no, you change the symbol only when you divide by a negative numver

Answer 36

oh :/ -3x - 3 +2 > 5 +2

Answer 37

yeh, now solve it

Answer 38

-4x > 7

Answer 39

7 is correct, how did u get -4x ?

Answer 40

oh no its 8x

Answer 41

how did u get 8x

Answer 42

-3x - 3 is 6x cause two - = a plus... right?

Answer 43

yes

but, u cannot add something with a 'x' with a number

so : -3x - 3 +2 = -3x +1

Answer 44

ohhh okay

Answer 45

oops, its 2 and not 3

so,
-3x - 2 < 5.
-3x - 2+2 < 5+2.
-3x < 7

Now, divide this by 3

Answer 46

both sides?

Answer 47

-1x < 2.3

Answer 48

yepp, correct
its always done both sides

u can write it as
-1x < 7/3

Last step, Divide by -1

Answer 49

-1x divided by -1 = x

Answer 50

right?

Answer 51

yeh, do both sides