Example 4 - Solve 5 - 2x /3 <= x/6 - 5 - Chapter 6 Class 11 - Solving inequality  (one side)

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  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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Example 4 Solve ﷐5 − 2𝑥﷮3﷯ ≤ ﷐𝑥﷮6﷯ − 5. ﷐5 − 2𝑥﷮3﷯ ≤ ﷐𝑥﷮6﷯ − 5 ﷐5 − 2𝑥﷮3﷯ ≤ ﷐𝑥 − 30﷮6﷯ 6 × ﷐5 − 2𝑥﷮3﷯ ≤ x – 30 2(5 – 2x) ≤ x – 30. 10 – 4x ≤ x – 30 – 4x – x ≤ – 30 – 10 – 5x ≤ – 40 – x ≤ ﷐−40﷮ 5﷯ – x ≤ −8 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (–x) ≥ (– 1) × (–8) x ≥ 8 Hence, x is a real number greater than or equal to 8 Hence, x ∈ [8, 𕔴) is the solution

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