Question

26+6b ≥ 2(3b+4)
i've been out of school for a year and i'm extremely rusty i apologize

Answer 1

Are you trying to find b?

Answer 2

it just says to solve it and graph it. if i could solve it, i'll have no trouble graphing it. that part i remember

Answer 3

Ok so just think the inequality symbol as a = sign so then just solve for b.

Answer 4

i got b=22..... i don't think that's right

Answer 5

if you expand the right-hand side, what do you get?

Answer 6

what

Answer 7

if you were to expand say 2(3b+4), what would that expand to?

Answer 8

oh, 6b+12

Answer 9

hmmm there's no solution, as far as I can tell..... because

anyhow 2 * 4 = 8 \(\ne 12\)

Answer 10

\(\bf 26+6b\ge 2(3b+4) \implies 26\cancel{+6b}\ge \cancel{6b}+8\implies 26 \ge 8\)

Answer 11

26 + 6b >= 2(3b + 4)
26 + 6b >= 6b + 8
6b - 6b >= 8 - 26
0 >= - 18 (incorrect)

I agree.....no solution

Answer 12

hmmm.... actually 0 is greater than -18 I was wondering on that. because 26 is indeed greater than 8, I mean, is a valid inequality

Answer 13

on the negative side, the closer to 0, the greater than number

Answer 14

perfect, that's one of the choices. thank you guys so much

Answer 15

oops,,,my bad...I should have caught that 0 is greater then -18. So what is the answer ? 0b >= -18

Answer 16

well. is valid... now.... how to graph it.... hmmm maybe just 2 dots =) one at 26 and one at 8 hehhe

Answer 17

oh, well the answer was all real numbers
i failed

Answer 18

well...yes because any number times 0 will equal 0, and that would be less then -18.

Answer 19

oops...greater

Answer 20

I'M SO BAD AT THIS WOW
thank you guys

Answer 21

you will get better...it just takes practice. And believe me when I tell you if I had a dollar for every mistake I made, I would be rich.