use interval notation to express the solution set and graph the solution set on a number line.
6 - (x+5) 1 - 3x ??

Question

use interval notation to express the solution set and graph the solution set on a number line. 
6 - (x+5) > 1 - 3x ??

satellite73 · Answer

from logs to inequalities? what is this, on line kitchen sink math course?

satellite73 · Answer

distribute the minus sign on the left hand side first 
what do you get?

kkern00 · Answer

@satellite73 math assessment for college lol

kkern00 · Answer

@satellite73 6 - x - 5 > 1 - 3x

satellite73 · Answer

yes right

satellite73 · Answer

now combine like terms, i.e. compute on the left $6-5$ 
what do you have then ?

kkern00 · Answer

just 1

kkern00 · Answer

i did get to x - 1 > -3x +1 but i was lost from there on

satellite73 · Answer

actually it would not be that, it would be $$1-x>-3x+1$$

satellite73 · Answer

add $3x$ to both sides

kkern00 · Answer

1 + 2x > 1 ?

satellite73 · Answer

yes,
now subtract 1 from both sides

kkern00 · Answer

2x > 0 ?

satellite73 · Answer

right 
now you can either say "done" or you can divide both sides by 2, still get zero on the right

kkern00 · Answer

these two graphs look insanely similar I'm not sure of the difference?

satellite73 · Answer

they sure do

satellite73 · Answer

but one difference, the round vs the square bracket

kkern00 · Answer

but i am thinking A?

satellite73 · Answer

round for $x>0$ square for $x\geq 0$

kkern00 · Answer

Right i saw that

satellite73 · Answer

so if you have $$x\geq 0$$ go for A
if $$x>0$$ go for B

kkern00 · Answer

it was technically $$x \ge$$

kkern00 · Answer

i just didn't have that option typing out the question

satellite73 · Answer

yeah that is why i did not pick , figured it could be either

kkern00 · Answer

thank you!

satellite73 · Answer

yw