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Question
Solve the equation and represent the solution set on the number line.
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I
Solution
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I,
`-3 + x ≤ (8x)/(3)+ 2, (8x)/(3)+ 2 ≤ (14)/(3) + 2x`
or `(8x)/(3) - x ≥ - 3 -2, (8x)/(3) - 2x ≤ (14)/(3) - 2`
or `(5x)/(3) ≥ -5, (2x)/(3) ≤ (8)/(3)`
5x ≥ - 15, 2x ≤ 8
x ≥ -3, x ≤ 4
Solution set (-3, -2, -1, 0, 1, 2, 3, 4}
Number line
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