Question

need help

Answer 1

@mathmale

Answer 2

Please post your question up front, OK? Then I'd be in a better position to decide whether I can or want to help with it.

Answer 3

\[-5x-7\le-3(x+1)+2\]

Answer 4

okay

Answer 5

I see multiplication in the right hand side of your inequality. Please carry out this multiplication.

Answer 6

\[-5x-7\le-3x-1+2\]
Right?

Answer 7

Where did that -1 come from?

Answer 8

First distribute
---> -3(x+1) = -3x -3

Then combine like terms ... Note i would make the "x" term positive

-7 +3 -2 < -3x + 5x
-6 < 2x

Divide by 2
-3 < x

Answer 9

the -3 * (+1)

Answer 10

whoops

Answer 11

wouldn't that be -3?

Answer 12

yep just realized that

Answer 13

So, your \[-5x-7\le-3(x+1)+2\]

Answer 14

becomes what?

Answer 15

\[-5x-7\le-3x-3+2\]
I think

Answer 16

You think?
What 'd you get were y ou to combine -3 and +2? Do combine them, please.

Answer 17

\[-5x-7\le-3x-1\]

Answer 18

Nice. Now we need to solve for x. Think about how you might do that. It'd be great if your initial aim were to give x a positive (not a neg) coefficient.

Answer 19

add the 5x to the -3x right?

Answer 20

Actually, you need to treat both sides of this inequality the same. Therefore, add 5x to both sides and simplify your result. Your result?

Answer 21

\[-7\le+2x-1\]

Answer 22

two more steps and you are done

Answer 23

add 1 to -7?

Answer 24

Please note: whatever you do to one side of your inequality, you MUST do to the other side. So, add 1 to both sides and then simplify the result.

Answer 25

\[-6\le2x\]

Then

\[-3\le x\]

Answer 26

is that right?

Answer 27

Surely looks it! Why don't you check it yourself? Choose any test number for x and substitute that number for x in the inequality. Is the inequality then true or false?

Answer 28

it is it