The subtraction property of linear inequalities states that if you subtract the same number from both sides of an inequality, the direction of the inequality remains the same.
For example, if you have an inequality like:
4x + 5 > 3
and you subtract 5 from both sides, you get:
4x + 5 – 5 > 3 – 5
which simplifies to:
4x > -2
The inequality still holds true, as both sides are adjusted equally. This property is useful for solving inequalities as it allows you to isolate variables while maintaining the inequality’s integrity. Remember, the key point is that subtracting a number does not change the relationship between the two sides of the inequality.