Exams › JEE Advanced › Maths

Solve the equation |2x + 5| = 2 for x.

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

Correct answer: x = -3/2 or x = -7/2

Solution

|2x + 5| = 2 means 2x + 5 = 2 or 2x + 5 = -2. First: 2x = -3, x = -3/2. Second: 2x = -7, x = -7/2.

Related JEE Advanced Maths questions

• Solve for real x: |x - 3| = -1.
• In a chemistry class, there are 20 students, while a physics class has 30 students. If 10 students are enrolled in both classes, and the two classes are held at separate times, determine the value of k/8, where k represents the total number of students attending either class.
• Given that A represents the divisors of 15, B contains prime numbers less than 10, and C includes even numbers less than 9, how many elements are there in the intersection of (A ∪ C) and B?
• Identify the periodic function among the following:
• The function f(x) = √|x² - 5| x + 6 + √8 + 2|x| - |x|² is defined as a real number for values of x within which range?
• Let f(x) = 4x / (4x² + 2). If the sum of the integrals ∫(1/1997) + ∫(2/1997) +... + ∫(1196/1997) equals 499q, what is the value of q?

⚔️ Practice JEE Advanced Maths free + battle 1v1 →