Expert: Scott A Wilson - 6/5/2011

Question
how do you solve the inequality and graph the solution -4x+2.5x<=1.5(x+2)?

Answer
Combine the x's on the left, giving -1.5x <= 1.5(x+2).

Multiply out the right side, giving -1.5x <= 1.5x + 3.

Subtract 1.5x from both sides, giving -3x <= 3.

Divide by -3.  Since the equation is being divided by a negative, reverse the sign.

This gives x >= -1.

If we put x = -1 in, we get 4 - 2.5 = 1.5(-1+2) => 1.5 = 1.5,
so that's the boundary point.
If we put x=2 in, we get -8 + 5 <= 1.5(4) => -3 < 6,
and that means the answer is on the correct side.