Question

Part 1: Solve the inequality -5x + 8 less than or equal 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.

Answer 1

For the most part, solving an inequality is similar to solving an equation.
You can add the same number to both sides.
You can subtract the same number from both sides.
You can multiply and divde both sides by the same _POSITIVE_ number.
When you multiply or divide both sides by the same _NEGATIVE_ number, then the inequality sign changes direction.

Answer 2

-5x + 8 <= x - 4
We want all x's on left side so we subtract x from both sides.
-6x + 8 <= -4
We want the 8 on the right side, so we subtract 8 from both sides.
-6x <= - 12
We want to get rid of the -6 that is multiplying x, so we must divide both siodes by -6. Remember that when you divide both sides of an inequality by a negative number, the inequiality sign changes direction.
x >= 2

Answer 3

r u in 9th

Answer 4

Yes

Answer 5

yea i passed with a 60%

Answer 6

Part 2. You draw a number line, making sure you have the number 2 marked. Since the answer is x >= 2, that means that the number 2 itself is included in the answer, so you place a _closed_ circle on the 2. The other points in the solution are all numbers greater than 2, so you shade the right side of 2.