|5y-2| > 2
ok since it is greater than you would have to separate it into two equations
first one would be
5y-2>2
second one would be the neg of it..so it would be
-5y+2>2
and then just solve for it
you should get y>0 and y>(4/5)
To solve the inequality |5y - 2| > 2, you correctly separated it into two separate equations.
In the first equation, 5y - 2 > 2, you isolate the variable y by adding 2 to both sides of the equation:
5y - 2 + 2 > 2 + 2
5y > 4
Next, you divide both sides of the equation by 5 to solve for y:
5y/5 > 4/5
y > 4/5
So, the solution to the first equation is y > 4/5.
In the second equation, you negated the inequality: -5y + 2 > 2.
To solve for y, you isolate the variable y by subtracting 2 from both sides of the equation:
-5y + 2 - 2 > 2 - 2
-5y > 0
Next, you divide both sides of the equation by -5, remembering to reverse the inequality symbol when dividing by a negative number.
(-5y)/(-5) < 0/(-5)
y < 0
So, the solution to the second equation is y < 0.
Therefore, the solution to the original inequality |5y - 2| > 2 is y > 4/5 or y < 0.