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Example: Solve 2(x+3) < 5 (x-3). Solution: 2x+6 < 5x-15. Add -6 to both sides, we get 2x + 6 - 6 < 5x - 15 -6 2x < 5x - 21 Add -5x to both sides, we get 2x - 5x < 5x -21 -5x -3x < -21 Divide both sides by -3. -3x/-3 > -21/-3 x > 7 \ Any number > 7 is a solution.
Verification: Substituting x = 8 > 7 Directions: Solve the following inequality. Also write at least ten examples of your own. |