The annual expenses of a manufacturing company must satisfy the inequality that follows, where x is in millions of dollars.

Question

2(x-5)>6(x-3)
A. Solve the inequality for x. Interpret the result.

Answer 1

Except for multiplying/dividing by a negative number, treat just like an equation.

First get rid of the parentheses by multiplying.

2x - 10 > 6x -18

Subtract 2x from both sides and add 18 to both sides.

You should be able to work it from there.

Answer 2

is it 28>4x
or -10>4x?

Answer 3

2(x-5)>6(x-3)
2x - 10 > 6x - 18
2x - 6x > -18+10
-4x > -8
x < 2