Exams › JEE Main › Maths

Solve the inequality over the real numbers: x/(x + 1) > 2. Which option is the solution set?

1. (-2, -1)
2. (-1, infinity)
3. (-infinity, -2)
4. (-2, -1]

Correct answer: (-2, -1)

Solution

Subtract 2 and form one fraction, then do a sign analysis, excluding x = -1 where the expression is undefined.

Related JEE Main Maths questions

• Solve the inequality over the real numbers: ((x - 1)(x + 2)²) / (-1 - x) < 0.
• Solve the inequality over the real numbers: ((x - 1)² * (x + 1)³) / (x⁴ * (x - 2)) <= 0.
• Solve the inequality over the reals: ((2 - x²)*(x - 3)³) / ((x + 1)*(x² - 3x - 4)) >= 0.
• For f(x) = (x³ + 4x² - 11x - 30)/(x² - 6x - 7), determine the set of x for which f(x) > 0.
• Solve for real x: 1/(x + 1) + 2/(x + 2) > 3/(x + 3).
• Solve over the real numbers: (x - 1)² (x + 1)³ (x - 4) < 0. Give the solution set.

⚔️ Practice JEE Main Maths free + battle 1v1 →