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Question
Solve the following inequation and represent the solution on the number line in following case:
2x + 33 ≥ 38, 3x + 1 ≤ 12
Sum
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Solution
2x + 33 ≥ 38
3x + 1 ≤ 12
Inequality 1:
2x + 33 ≥ 38
⇒ 2x ≥ 5
⇒ x ≥ `5/2`
Inequality 2:
3x + 1 ≤ 12
⇒ 3x ≤ 11
⇒ x ≤ `11/3`
Combine the solutions:
`5/2 <= x <= 11/3`
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