Solve the inequality 2(x + 6) 3x − 2 and show all of your work. You can use = to represent the greater than or equal to symbol.

Question

Solve the inequality 2(x + 6)  3x − 2 and show all of your work. You can use >= to represent the greater than or equal to symbol.

anonymous · Answer

You need 2(x + 6) >= 3x-2 solved, right?

anonymous · Answer

yup

anonymous · Answer

Ok, so first you distribute the 2:
2x + 12 >= 3x - 2

Then you get the x's on one side and the numbers on one side.
-x >= -14

And make x positive (Remember, the sign switches if you divide by a negative)
x <=14

anonymous · Answer

ok so x<14?

anonymous · Answer

x <= 14.  It works when x is 14.  As far as I have checked, this is correct.  You may want to double check my work by plugging in 13, 14, and 15 for X, and making sure that 13 and 14 work, and 15 does not.

anonymous · Answer

ok thanks!