Example 9 - Chapter 5 Class 11 Linear Inequalities

Last updated at July 28, 2026 by

Example 9 - Solve -8 <= 5x - 3 < 7 - Chapter 6 Class 11 - Examples - Examples

Remove Ads

Transcript

Example 9 Solve – 8 ≤ 5x – 3 < 7. –8 ≤ 5x – 3 < 7 Adding 3 all sides (Eliminating -3) – 8 + 3 ≤ 5x – 3 + 3 < 7 + 3 –5 ≤ 5x < 10 Dividing 5 all sides (Eliminating 5) (−5)/5 ≤ 5𝑥/5 < 10/5 –1 ≤ x < 2 Thus, x is a real number which is less than 2 and greater than or equal to –1 Hence, x ∈ [–1, 2) is the solution

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.