Solve the inequality 2x + 5 > 3x - 1.

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Multiple Choice

Solve the inequality 2x + 5 > 3x - 1.

Explanation:
To solve a linear inequality, move terms to get x by itself on one side, keeping the inequality sign the same unless you multiply or divide by a negative number. Start with 2x + 5 > 3x - 1. Subtract 2x from both sides to get 5 > x - 1. Then add 1 to both sides to isolate x: 6 > x, which is the same as x < 6. Because the inequality is strict, 6 is not included. So the solution is all real numbers less than 6. For a quick check, x = 5 gives 15 > 14 (true), while x = 6 gives 17 > 17 (false).

To solve a linear inequality, move terms to get x by itself on one side, keeping the inequality sign the same unless you multiply or divide by a negative number. Start with 2x + 5 > 3x - 1. Subtract 2x from both sides to get 5 > x - 1. Then add 1 to both sides to isolate x: 6 > x, which is the same as x < 6. Because the inequality is strict, 6 is not included. So the solution is all real numbers less than 6. For a quick check, x = 5 gives 15 > 14 (true), while x = 6 gives 17 > 17 (false).

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