Part 1: Solve the inequality -5x + 8 less than or greater to x - 4 and show all of your work. You can use

Question

Part 1: Solve the inequality -5x + 8 less than or greater to x - 4 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

anonymous · Answer

can someone help

anonymous · Answer

Is this your question?
$-5x+8 \leq x-4$

anonymous · Answer

You need to isolate the x just like an equation.

anonymous · Answer

so it would be -6x + 8 $$\le$$ x - 4

anonymous · Answer

No. When you subtract the x from both sides, it cancels out on the right side.

anonymous · Answer

i dont get it

anonymous · Answer

$$-5x-x+8 \leq \cancel{x-x}-4$$
$$-6x+8 \leq -4$$

anonymous · Answer

oh so now its 
-6x + 8 <= -4
       - 8        -8
-6x<= -12

anonymous · Answer

Yes.

anonymous · Answer

so it would be x <= -2

anonymous · Answer

The only difference between solving an equation and an inequality is that the inequality reverses when you multiply or divide by a negative.

anonymous · Answer

Also, remember that a negative divided by a negative has a positive answer.

anonymous · Answer

so  $$x \ge -2$$

anonymous · Answer

Yes.

anonymous · Answer

whats part 2?

anonymous · Answer

Draw the graph and then describe what it will looks like.

anonymous · Answer

This should be drawn on a number line.