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Question
Solve the following inequation and represent the solution on the number line in following case:
3x − 7 ≤ 5, 2x − 7 < 7
Sum
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Solution
3x − 7 ≤ 5
2x − 7 < 7
Inequality 1:
3x − 7 ≤ 5
⇒ 3x ≤ 12
⇒ x ≤ 4
Inequality 2:
2x − 7 < 7
⇒ 2x < 14
⇒ x < 7
Combine the results:
First inequality: x ≤ 4
Second inequality: x < 7
x ≤ 4
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