Question
Download Solution PDFIf |3x - 5| ≤ 2 then
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If |x| ≤ a then - a ≤ x ≤ a
Calculations:
Given , |3x - 5| ≤ 2
⇒ - 2 ≤ 3x - 5 ≤ 2
⇒ - 2 + 5 ≤ 3x ≤ 2 + 5
⇒ 3 ≤ 3x ≤ 7
⇒\(\rm 1 \le x \le \dfrac{7}{3}\)
Hence, if |3x - 5| ≤ 2 then then \(\rm 1 \le x \le \dfrac{7}{3}\)
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