3x - 2 < y
x - y > 6
isolate the y for both inequalities
To isolate y for the first inequality, 3x - 2 < y, we need to add 2 to both sides of the inequality:
3x - 2 + 2 < y + 2
This simplifies to:
3x < y + 2
To isolate y for the second inequality, x - y > 6, we need to subtract x from both sides of the inequality:
x - y - x > 6 - x
This simplifies to:
-y > 6 - x
However, to have y isolated, we need to reverse the inequality by multiplying both sides by -1:
-y(-1) < (6 - x)(-1)
This gives us:
y < -6 + x
So, the isolated forms of the original inequalities are:
3x < y + 2
y < -6 + x