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Question
Solve the following linear in-equation and graph the solution set on a real number line:
`1/3 (5"x" - 8) >= 1/2 (4"x" - 7) `, x ∈ R
Solution
`1/3 (5"x" - 8) >= 1/2 (4"x" - 7) `
2(5x - 8) ≥ 3 (4x - 7)
10x - 16 ≥ 12x - 21
10x - 12x ≥ -21 + 16
-2x ≥ -5
x ≤ `5/2`
x ≤ `2 1/2`
Solution set = `["x" ≤ 2 1/2]`
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