Solve the inequality x > 6x - 10 and write a description of the graph. Show all work

Subtracting x from both sides does not change the inequality sign direction.
0 > 5x - 10
Add 10 to both sides
5x < 10
Divide both sides by 5.
x < 2.

1/2(8-c)<7.5

To solve the inequality x > 6x - 10, we first subtract x from both sides of the inequality to isolate the x term. This gives us:

0 > 5x - 10

Next, we add 10 to both sides to move the constant term to the other side:

0 + 10 > 5x

This simplifies to:

10 > 5x

Now, we can divide both sides of the inequality by 5 to solve for x:

10/5 > x

This simplifies to:

2 > x

So, the solution to the inequality x > 6x - 10 is x < 2.

To describe the graph of this inequality, we can use a number line. Mark a point at 2 and shade everything to the left of 2. This represents all the values of x that satisfy the inequality x < 2. So, the graph shows all the values of x that are less than 2.