Question

Is the "squaring property of inequality" a valid property?

A) True
B) False

Answer 1

Yes, the 'squaring property of inequality' is a valid property. When we square both sides of an inequality, the direction of the inequality sign remains the same if both sides are non-negative. However, if one or both sides are negative, the direction of the inequality sign will change.

Step-by-step explanation:

Yes, the 'squaring property of inequality' is a valid property. When we square both sides of an inequality, the direction of the inequality sign remains the same if both sides are non-negative. However, if one or both sides are negative, the direction of the inequality sign will change.

For example, consider the inequality -x < 3. Squaring both sides gives x^2 > 9. Because both sides are non-negative, the direction of the inequality sign remains the same, giving x > 3 as the solution.