Question

What is an example of an inequality

Answer 1

\[1 \neq 0\]

Answer 2

How do you solve them.I have hard time remembering what they are and how to solve them.

Answer 3

that's a good question. I will show you by presenting some inequalities\[4-x < 3-2x\]how would you solve the above inequality?

Answer 4

any idea?

Answer 5

:(

Answer 6

4 - x < 3 - 2x

Add 2x on both sides => 4 - x +(+2x) < 3 - 2x +(+2x)
That way, only one side has the x variable.
(-x+2x) = x, -2x + 2x = 0

4 + x < 3
Subtract 4 on both sides => x < -1

This means that the value of x needs to be less than -1 in order for the inequality to work. We can check this by substituting x = 0 and x = -2 in the inequality...

x < -1, so if we substitute x = 0, the inequality should not be true at that value.
Try x = 0...
4 - x < 3 - 2x becomes 4 < 3, which is impossible.

x < -1, so if we sub x = -2, the inequality should be true at that value.
Try x = -2...
4 - x < 3 - 2x becomes 6 < 7, which is true.