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.