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Example 5: Find the solution set of 2x + 10 = 2x - 1 from the replacement set { -1, 0, 1, 2}.

    • 2(- 1) + 10 = 2(- 1) - 1 ?
    • -2 + 10 = - 2 - 1 ?
    • 8 = - 3 ? No. Not a solution.
    • 2(0) + 10 = 2(0) - 1 ?
    • 0 + 10 = 0 - 1 ?
    • 10 = - 1 ? No. Not a solution.
    • 2(1) + 10 = 2(1) - 1 ?
    • 2 + 10 = 2 - 1 ?
    • 12 = 1 ? No. Not a solution.
    • 2(2) + 10 = 2(2) - 1 ?
    • 4 + 10 = 4 - 1 ?
    • 14 = 3 ? No. Not a solution.

Thus, the solution set is Ø.

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