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Solve for x: |x| = |x + 1| Video Lecture | Sets and Functions - JEE

FAQs on Solve for x: -x- = -x + 1- Video Lecture - Sets and Functions - JEE

1. How do you solve the equation |x| = |x + 1|?

Ans. To solve the equation |x| = |x + 1|, we consider the cases when x is positive, negative, or zero. By solving each case separately, we can find the values of x that satisfy the equation.

2. What are the possible values of x that satisfy the equation |x| = |x + 1|?

Ans. The possible values of x that satisfy the equation |x| = |x + 1| are x = -1 and x = 0. These values make the absolute value on both sides of the equation equal.

3. Can the equation |x| = |x + 1| have more than two solutions?

Ans. No, the equation |x| = |x + 1| can only have two solutions, which are x = -1 and x = 0. This is because the absolute value function only has two possible outputs for any input.

4. How can the concept of absolute value be applied in real-life situations?

Ans. The concept of absolute value is often used in mathematical modeling, physics, and engineering to represent distances, magnitudes, or differences without regard to direction. It can also be used in finance to calculate the difference between two values.

5. What are some common mistakes to avoid when solving equations involving absolute value?

Ans. Common mistakes to avoid when solving equations involving absolute value include forgetting to consider both the positive and negative cases, incorrectly dropping absolute value symbols, and not checking the solutions in the original equation to ensure they are valid.

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Sep 20, 2025 Last updated

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