Question

6x - 8x less than or equal to 20

Answer 1

\[6x-8x \le20\]
Combine like values
\[-2x \le20\]
Divide both sides by -2, and switch the sign (since x is negative)

Answer 2

\[6x-8x \le 20\]
this? Come on, the first thing you can think of :)

Answer 3

@gennaw do you get it or do you need some morehelp?

Answer 4

I need more help please

Answer 5

ok so your inequatlity that you wrote above translated into numeric values would be:

\[6x - 8x \le 20\]

Answer 6

do you get this so far?

Answer 7

Yes, so far. My teacher hasn't gone over this yet but gives it for homework. Is there another step to the answer

Answer 8

yes this is just the first step, the second step would be to combine the like terms so the terms that we can combine here are 6x and 8x so do you know how to do this?

Answer 9

so it would like 6x - 8x

can you do that? ^^^

Answer 10

Sorry no. I am guessing you subtract 6 and 8 to get 2

Answer 11

yes but positive or negative 2x

so 6x - 8x = positive or negative 2x?

Answer 12

negative?

Answer 13

thats right! so now the equation simplifies to:

\[-2x \le 20\]

Answer 14

so now you have to isolate x. to do this you would have to divide -2 on both sides of the equation. do you know how to do this?

Answer 15

no

Answer 16

wait hold on

Answer 17

-2x ≤ 20
--- ---
-2 -2

the inequality sign changes to the opposite direction when you divide by a negative

so it would be

x ≥ 20 divided by -2

Answer 18

do you know hhow to solve from here?

Answer 19

yes, thank you for helping me

Answer 20

your welcome! :)