Question

Solve the inequality. Show your work.
6y-8<10

Answer 1

solve it like you would solve an equation

just remember for inequalities, if you ever multiply or divide a negative number to both sides, you must change the sign

Answer 2

\[6y-8\le10\]

Answer 3

pretend that it is

\[6y-8 = 10\]

and solve it

Answer 4

what do you think your first step would be?

Answer 5

please understand this is my first time taking Algebra

Answer 6

... why are you doing inequalities when you do not know how to solve equations....

Answer 7

ex. solving an equation

8x-6=2

the goal is to isolate the variable so its alone on one side

the first step would be to remove the -6 from the left side

this can be accomplished by adding 6 to both sides

by doing this

8x-6 +6 = 2+6

-6+6 = 0

so the -6 cancels out on the left

8x = 8

now at this point, we want to isolate x so it alone on one side
this means we need to get rid of the 8 on the left side

this can be accomplished with we divide 8 to both sides

because 8/8 = 1

and 1x is the equivalent of just x

so the equation becomes
x= 8/8

and 8/8 = 1

now see if you can apply these steps to your own problem

Answer 8

one more note

i mentioned that when dividng by a negative number to both sides of an inequality causes the sign to change

this is what i meant

\[-x< 1\]
dividing by -1 to both sides or multiplying

\[x> -1\]