Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the sum of all the real solutions of the inequality 
≤ 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
{–4, 4}
x 2 – 16 ≥ 0
∴ (x – 4) (x + 4) ≥ 0
∴ x ∈ (– ∞ , –4] ∪ [4, ∞ ) ..........(1)
Now 
≤ 0 
x ∈ (–3, 3) ...........(2)
By (1) and (2) x ∈ {–4, 4}
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Match the set P in column one with its super set Q in column II
Column – Ι (set P) Column – ΙΙ (set…
If ≤ 4, then the least and the highest values of 4x 2 are:
If ≥ 1 and is an odd integer then number of possible values of α is
If log a b = 2; log b c = 2 and log 3 c = 3 + log 3 a then (a + b + c) equals
The sum of the solutions of the equation 9 x – 6 · 3 x + 8 = 0 is
The expression: reduces to