Exams › JEE Main › Maths

Solve for x: |2x + 3| = |3x - 4|.

1. x = 7 or x = 1/5
2. x = 7 only
3. x = 1/5 only
4. x = -7 or x = 1/5

Correct answer: x = 7 or x = 1/5

Solution

Case 1: 2x + 3 = 3x - 4 -> 7 = x, so x = 7. Case 2: 2x + 3 = -(3x - 4) = -3x + 4 -> 5x = 1 -> x = 1/5. Both satisfy the original equation.

Related JEE Main Maths questions

• Simplify: ( ( (1/x)^(-12))^(1/4))^(-2/3).
• Solve the simultaneous linear equations: 3x - 2y = 13 and 4x + 5y = 25.
• Let f(x) = [(x - 1)³ (x + 2)⁴ (x - 3)⁵ (x + 6)] / [x² (x - 7)]. Solve the inequality f(x) > 0 (find the set of x for which f is strictly positive).
• Solve for x: |2x - 1| + |2x + 3| = 6.
• Let A be the set {(n, 2n): n ∈ N} and let B be the set {(2n, 3n): n ∈ N}. What is the intersection A ∩ B?
• Let set A contain 3 elements and set B contain 6 elements. Then the cardinality of their union must satisfy

⚔️ Practice JEE Main Maths free + battle 1v1 →