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.