Question

EASY MEDAL

Answer 1

The solution to the inequality is shown on the number line below.
https://media.education2020.com/evresources/2003-06-03/es003-2.jpg

What value is missing from the inequality?

Answer 2

\[2x+6>blank\]

Answer 3

Basically it's asking what number do you put in to edn up with \(\sf x > -2\).

Answer 4

end*

Answer 5

Yeah

Answer 6

Input 'y' into the blank, and solve for it.

\(\sf 2x + 6 > y\)

Subtract 6 to both sides.

Answer 7

-4x=y?

Answer 8

No..you can't combine 6 with 2x..they're not like terms.

Like terms have the same variable.

You can combine 2x + 4x because they both have 'x'.
You can combine 3 and 5 because they both have no variable.
But you can't combine 3x and 2, because they have different variables.

You're correct that 6 will cancel out on the left side, but we also need to subtract it to the other side.

\(\sf 2x = y - 6\)

Understand?

Answer 9

Yes

Answer 10

You read that pretty fast..

Answer 11

lol

Answer 12

Okay, now divide 2 to both sides.

Answer 13

im a fast reader lol

Answer 14

So, which answer is correct, and why? Have you checked your answer?

Answer 15

1x=y-3?

Answer 16

Not quite..you have to divide 2 to all terms on the right side.

\(\sf \dfrac{2x}{2} = \dfrac{y-6}{2}\)

\(\sf \dfrac{\cancel2x}{\cancel2} = \dfrac{y-6}{2}\)

\(\sf x = \dfrac{y-6}{2}\)

Get it?

Answer 17

yes

Answer 18

so \[y-6/2\]now do i solve

Answer 19

Okay, now we want the expression on the right to be equal to -2, like the graph shows us.

\(\sf \dfrac{y - 6}{2} = -2\)

Now solve this for 'y'

Answer 20

y=-2?

Answer 21

Not quite, check again.

Answer 22

then it has to be 2 right?

Answer 23

2 -6 =-4

Answer 24

Yep, you got it. So x = 2.

Answer 25

thanks!

Answer 26

So the equation should be:

\(\sf 2x + 6 > 2\)

Answer 27

Alright

Answer 28

No problem.