Question

PLEASE HELP!! QUICK!! WORTH 80 POINTS!!!
A?
B?
C?
D?
and proof.

Answer 1

C. 44 ≥ b+33

Explanation:

Lets think about this. It really doesn't matter what the variable is also, we should immediately disregard A because its not a greater than or equal to sign. You should also, you how I can to this conclusion was that, SHADED circle in are always greater than or equal to or less than or equal to. EMPTY circle means greater than or less than. Therefore, you have already taken down A. B on the other hand would've worked if not for the fact that the variable is a negative. D on the other hand if you do the math of what the number line would be 11 -11=0 while it is less than or equal to 11. To get 11 or anything else other than below 0 you would fall off the number line. Therefore, because 44≥b+33 would be 44≥11+33 or anything less would work.

C. 44 ≥ b + 33

Answer 2

C

Explanation:

Key skills needed: Inequalities

1) We are given that inequality.

The inequality is b ≤ 11 (any variable would work instead of "b")

--> It is "≤" and not "<" since there is a filled/shaded dot on the 11.

2) This means we solve all the ones with less than or equal to symbols.

A does not have a ≤ symbol, so A cannot be it

3) Solve each one:

B --> -k
`\leq` 11

Divide by -1 on both sides and get
`k \geq -11` B cannot be it

C --> 44 ≥ b + 33

Subtract 33 from both sides and get b
`\leq` 11

Therefore C is your answer C can be it!!

If you want to check D --> x -11 ≤ 11

Add 11 to both sides and get x ≤ 22 D cannot be it

Hope you understood and have a nice day!!