Book: RD Sharma - Mathematics
Chapter: 15. Linear Inequations
Subject: Maths - Class 11th
Q. No. 12 of Exercise 15.3
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12
Solve each of the following system of equations in R.
We know that,
a≤ | x – c | ≤ b ⟺ x ϵ [–b+c, –a+c] ⋃ [a+c, b+c]
∴, 1≤|x–2|≤3 ⟺ xϵ [–3+2, –1+2] ⋃ [1+2, 3+2]
⟺xϵ [–1, 1]⋃[3, 5]
We can verify the answers using graph as well.
