# What is the Subtraction Property of linear inequalities?

Linear inequalities are defined as expressions when two values are compared using the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. examples of linear inequalities are 10<11, x>y, x ≥ z > 11, and x+7<√2, etc.

## Answer: The subtraction property of linear inequalities says that if we subtract a number from one side of an inequality, we have to subtract that same number from the other side of the inequality as well.

Let’s understand this concept with an example.

## Explanation:

The subtraction property of linear inequalities says that if we subtract a number from one side of an inequality, we have to subtract that same number from the other side of the inequality as well.

If x>y, then x−z > y−z

If x<y, then x−z < y−z

Let’s see an example below to understand the concept.

Example : Solve x + 9 > 6.

Subtract 9 from both sides of the inequality.

x + 9 – 9 > 6 – 9 => x > −3

Therefore, x > −3.

### Hence, the subtraction property of linear inequalities says that if we subtract a number from one side of an inequality, we have to subtract that same number from the other side of the inequality as well.

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