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In Mathematics / High School | 2014-04-13

Solve the following inequalities for \(x\):

1. \(7x - 6 > 8\)
2. \(3x + 4 > 22\)

Asked by bsktbll23jordan

Answer (3)

8 \\ \\7x>8+6 \\ \\7x>14 \ \ :7 \\ \\x>2 \\ \\ \\3x+4>22 \\ \\3x>22-4\\ \\3x>18\ \ /:3\\ \\x>6"> 7 x − 6 > 8 7 x > 8 + 6 7 x > 14 : 7 x > 2 3 x + 4 > 22 3 x > 22 − 4 3 x > 18 / : 3 x > 6

Answered by Lilith | 2024-06-10

7x-6>8 7x>14 x>2
3x+4>22 3x>18 x>6

Answered by Laura221 | 2024-06-10

The solutions to the inequalities are 2"> x > 2 for the first inequality and 6"> x > 6 for the second inequality. Each solution was found by isolating x through addition and division. This process demonstrates the methods used to solve linear inequalities.
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Answered by Lilith | 2024-12-24

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