Question

What is the first step in solving and graphing the inequality 2x-6y>8 ?
A.
Subtract 2x from both sides of the inequality.
B.
Test the point (0, 0).
C.
Switch the inequality to "less than or equal to."
D.
Graph the inequality.

Answer 1

Typically one would isolate the ' y ' term on one side of the inequality, but there's no law that says you can't do the alternative: isolate ' x ' on one side.

If 2x - 6y > 8

try isolating y. This sort of problem is easier if you start out by obtaining a POSITIVE coefficient for y, so I'd suggest you add 6y to both sides of this inequality. What do you get, and what's the next step?

Answer 2

A ? @mathmale

Answer 3

I'm really anxious to help. Help me to help you by sharing the work you've done towards choosing the correct answer, OK?

Answer 4

unless i can plug in the ( 0 , 0 ) . && Ok .

Answer 5

If 2x - 6y > 8

try isolating y. This sort of problem is easier if you start out by obtaining a POSITIVE coefficient for y, so I'd suggest you add 6y to both sides of this inequality. What do you get, and what's the next step?

2x - 6y > 8
+ 6y = +6y
---------- -----

complete this work, please.

Answer 6

what to do after 2x>14y or did i do this wrong ?

Answer 7

Your 2x on the left is fine. But combining 8 with 6y does not result in 14y. Mind trying that again?

Answer 8

The ' 8 ' and the ' 6y ' are NOT "like" terms, and thus cannot be combined.

8y+6y=14y (yes)
8 +6y = 14y NO

So, please re-write the inequality:

2x > ???

Answer 9

so it would be , 2x > 6y + 8 .