Question

3t+6/2 < 3t+6
solve the inequality. please help me step by step i know i have to start of multiplying 2 to both sides.

Answer 1

okay, whats the equation after multiplying both sides by 2?

Answer 2

i dont know . i just know i have to multiply

Answer 3

can you work out

\[2*(\frac{ 3t+6 }{ 2 }) < 2*(3t+6)\]

Answer 4

yes

Answer 5

is it . 3t + 6 < 6t + 12 ?

Answer 6

yup you are correct :)

okay from here you want all the letters on one side and all the numbers on the other side

we can start with the numbers by subtracting 6 from both sides

Answer 7

can i subtract 3 first?

Answer 8

subtract 3t from both sides? you can do that too, the order doesn't matter

Answer 9

ok

Answer 10

t < -2

Answer 11

one second, let me double check the solution

Answer 12

ok

Answer 13

when you divide both sides by a negative number, you have to flip the inequality sign

Answer 14

so its t>-2 ?

Answer 15

yup, so it should have looked like

3t + 6 < 6t + 12
6 < 3t + 12
-6 < 3t
-2 < t

for your way

and

3t + 6 < 6t + 12
3t < 6t + 6
-3t < 6
t > -2

the other way

Answer 16

thank you soooo much . =) i have one more question can you help?

Answer 17

ok ... 2n-6/5 + 1 > 0

Answer 18

is it \[\frac{ 2n-6 }{ 5 } + 1 > 0 \] ??

Answer 19

yess

Answer 20

okay,

i. subtract one from both sides
ii. multiply both sides by a certain number to simplify the equation

what do you get?

Answer 21

i got 2n-6 > -5 ?

Answer 22

yup!

can you figure out the rest? it should be just like the last problem now

Answer 23

ok

Answer 24

is it n > 1/2 ? or do i have to put n > 0.5

Answer 25

you got it :) both work as the correct answer

Answer 26

thank you so much

Answer 27

np, gl on your studies