Question

i need help please

Answer 1

@Vocaloid

Answer 2

@JustSaiyan

Answer 3

subtract 16 from both sides

Answer 4

@Ultrilliam

Answer 5

16 - 4x - 16 = ?

Answer 6

80

Answer 7

may I see how you got that answer?

Answer 8

hang on im redoing it

Answer 9

I got x≤5

Answer 10

oh, i had to put in something for X, sorry forgot

Answer 11

no you don't, since we don't know what x is

Answer 12

oh

Answer 13

let's try re-arranging the question

16 - 16 - 4x = ?

Answer 14

well without it i got -4

Answer 15

-4x

Answer 16

good

so on the left side we have:

-20 <= -4x

now divide both sides by -4

Answer 17

@Vocaloid you got this.

Answer 18

okay

Answer 19

-4x/(-4) = ?

Answer 20

1

Answer 21

x

Answer 22

good x

since we divided by a negative number we must flip the direction of the inequality sign

Answer 23

so x<= 5

Answer 24

(last answer choice)

Answer 25

okay

Answer 26

can you help with some more?

Answer 27

sure

Answer 28

distribute:

2(p-3) = ?

Answer 29

hint:
A(B-C) = A * B - A * C

using this same logic
2(p-3) = ?

Answer 30

2p?

Answer 31

almost

Answer 32

if A = 2
B = p
C = 3

then 2(p-3) = ?

Answer 33

oof, i'm actually a little stumped now

Answer 34

if A(B-C) = A*B - A*C

replace "A" with "2"
replace "B" with "p"
replace "C" with "3"

and calculate A*B - A*C

Answer 35

-4

Answer 36

getting there

Answer 37

p

Answer 38

2*p = 2p
2*3 = 6

so 2(p-3) = 2p - 6 make sense?

Answer 39

4p

Answer 40

not 4p

since they're not like terms it would just be 2p - 6 make sense?

Answer 41

the 2 has a p attached to it but the 6 doesn't so we can't simplify this further

Answer 42

so we have:

2p + 5 > 2p - 6

now erase 2p from both sides, what's left?

Answer 43

we have 5 > -6
which is always true so the answer is all real numbers

Answer 44

still there?

Answer 45

yeah

Answer 46

is there another problem you'd like to work on?

Answer 47

yeah

Answer 48

add 15 to the left side, middle, right side

a - 15 + 15 = ?

Answer 49

-30?

Answer 50

let's just look at the number part for now

-15 + 15 = ?

Answer 51

hint: you can re-write this as

-15 + 15 = 15 - 15 = ?

Answer 52

sorry, my thing is glitching

Answer 53

zero

Answer 54

good

so a - 15 + 15 = a + 0 = a

now let's take a look at the left/right

Answer 55

-5 + 15 = 10
2 + 17

so the correct answer has a open circle (not filled in) on 10 and 17

Answer 56

10 < a < 17

so answer choice a

Answer 57

distribute 2(x+3)

think about our earlier problem

Answer 58

A(B+C) = A*B + A*C

step 1: take the number outside the parentheses
multiply it by the first thing in the parentheses

step 2:take the number outside the parentheses
multiply it by the second thing in the parentheses

step3: add your answers from step 1 and 2

Answer 59

^ using this logic:

2(x+3) = ?

Answer 60

2x

Answer 61

see step 2

Answer 62

A(B+C) = A*B + A*C
2(x+3) = 2*x + ____

fill in the blank

Answer 63

5?

Answer 64

2*3 = ?

Answer 65

6

Answer 66

good

so 2(x+3) = 2x + 6

Answer 67

now we hvae:

2x + 6 > 6

let's subtract 6 from both sides

2x > 0

divide by 2

x > 0

now let's move to the second part of the question

Answer 68

2x + 3 <= -7

subtract 3 from both sides

2x + 3 - 3 = ?

Answer 69

2x

Answer 70

good

so 2x < = -10

x <= -5

now let's translate this to interval notation

Answer 71

x > 0 means (0, infinity)
x <= -5 means (-infinity, -5]

so the second choice is the answer

Answer 72

anything else you'd like to go over?

Answer 73

well I have work to do, good job and see you later