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Linear Inequalities — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequalities5 Marks
Question
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
✓

Answer

Let the third pH value be x.
Given that first pH value = 8.48
Second pH value = 8.35
Average value of pH $=\frac{8.48+8.35+\text{x}}{3}$
But average value pf pH lies batween 8.2 and 8.5
⇒ 24.6 < 16.83 + x < 25.5
⇒ 24.6 - 16.83 < x < 25.5 - 16.83
⇒ 7.77 < x < 8.67
Hence, the thrid pH value lies between 7.77 and 8.67.

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