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Sum
Solve for x: `|3 - 3/4x| ≤ 1/4`
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Solution
`(-1)/4 ≤ 3 - 3/4 x ≤1/4`
`- 1/4 - 3 ≤ - 3/4x`
`- 13/4 ≤ (-3)/4x`
⇒ 3x ≤ 13
⇒ x ≤ `13/3` ......(1)
`-3/4 ≤ 1/4`
`- 3/4 x ≤ 1/4 - 3(= -11/4)`
`-(3x)/4 ≤ (-11)/4`
⇒ 3x ≥ 11
⇒ `x ≥ 11/3` ......(2)
From (1) and (2)
⇒ `11/3 ≤ x ≤ 13/3`
Concept: Absolute Value
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