Question

Identify the solution set of the inequality using the given replacement set.

x < –7; {–15, –10.5, –7.2, –7, 0, 6}

A.
{–15, –10.5, –7.2, –7}

B.
{–15, –10.5, –7.2}

C.
{–15, –10.5, 0, 6}

D.
{0, 6}

Answer 1

a?

Answer 2

I think it maybe (a) but not to sure hold on a sec

Answer 3

is -7 less than -7?

Answer 4

-7=-7 so -7 is neither less than -7 nor greater than
do you happen to have an equal sign also since you are including -7 in your solution?

Answer 5

\[x \le -7 \text{ or } x<-7?\]

\[x \le -7 \text{ says all x less than or equal to -7 }\]
\[x < -7 \text{ says all x less than -7 }\]

Answer 6

im confused

Answer 7

your inequality says x<-7
is -7<-7?

Answer 8

I'm asking since you including -7 in your solution?

Answer 9

no its equal

Answer 10

so -7 would definitely not be a solution of x<-7
since it does not satisfy the inequality

\[\text{ unless you meant } x \le -7\]

Answer 11

okay

Answer 12

@chosenmatt

Answer 13

You are still not convinced -7 should not be in the solution set?

Answer 14

-7 equals -7
it is definitely not less than -7...
so all the other numbers in the set were less than -7

Answer 15

which set includes all the numbers you said before without the -7

Answer 16

a

Answer 17

no set a includes -7

Answer 18

we already said -7 is not a solution of the inequality x<-7

Answer 19

b

Answer 20

no c

Answer 21

yes all the numbers in b are in a except the -7

Answer 22

and no not c

Answer 23

Solve.

4y + 16 > –8

A.
y > –6

B.
y > –2

C.
y > 2

D.
y > 6

Answer 24

Subtract 16 on both sides.
Then last step is to divide both sides by 4.
All I'm doing is undoing the operations near y to solve for y.
4y+16>-8
I see then +16 so I say okay I will -16 on both sides
I see the 4* so I say okay I will div 4 on both sides.

Answer 25

-8 - 16 = -24 right

Answer 26

so you have 4y>-8-16
that means 4y>-24

Answer 27

y+6

Answer 28

@freckles

Answer 29

divide both sides of 4y>-24 by 4

Answer 30

so is it - 6

Answer 31

well you need the inequality but
yeah you have y inequality sign goes here -6

Answer 32

so im right?

Answer 33

well as I said you are missing your inequality symbol

Answer 34

if you are asking about -24 divided by 4 only then yeah that is -6

Answer 35

but without the y (inequality sign) part the solution is incomplete

Answer 36

so its a?

Answer 37

4y>-24
since we divided by a positive the inequality direction still holds

Answer 38

so you have y>-6