Solving the first inequality:
2(x+6) - 5x > 2x + 12 - 5x > -3x + 12 > -3x > -1x < 4
So, the solution for the first inequality is x < 4.
Solving the second inequality:
x/6 - x/2 < To simplify, we can find a common denominator of 6 for both terms:
x/6 - 3x/6 < -x/6 < -x < x > -6
So, the solution for the second inequality is x > -6.
Putting both solutions together, we have:
-6 < x < 4
Solving the first inequality:
2(x+6) - 5x >
2x + 12 - 5x >
-3x + 12 >
-3x > -1
x < 4
So, the solution for the first inequality is x < 4.
Solving the second inequality:
x/6 - x/2 <
To simplify, we can find a common denominator of 6 for both terms:
x/6 - 3x/6 <
-x/6 <
-x <
x > -6
So, the solution for the second inequality is x > -6.
Putting both solutions together, we have:
-6 < x < 4