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Question
Solve the following inequation and represent the solution on the number line in following case:
3x + 2 ≥ 8, 2x + 1 ≤ 12
Sum
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Solution
3x + 2 ≥ 8
2x + 1 ≤ 12
Inequality 1:
3x + 2 ≥ 8
⇒ 3x ≥ 6
⇒ x ≥ 2
Inequality 2:
2x + 1 ≤ 12
⇒ 2x ≤ 11
⇒ x ≤ `11/2`
Combine the results:
2 ≤ x ≤ `11/2`

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