Solve |x - 7| = 3; x = ?

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Multiple Choice

Solve |x - 7| = 3; x = ?

Explanation:
Solving an absolute value equation involves considering both the positive and negative possibilities for the inside expression. For |x - 7| = 3, the inside can be 3 or -3. This gives x - 7 = 3, so x = 10, or x - 7 = -3, so x = 4. Both values satisfy the equation, since |10 - 7| = 3 and |4 - 7| = 3. Therefore, the solution set is 4 and 10, which is the option that lists both numbers.

Solving an absolute value equation involves considering both the positive and negative possibilities for the inside expression. For |x - 7| = 3, the inside can be 3 or -3. This gives x - 7 = 3, so x = 10, or x - 7 = -3, so x = 4. Both values satisfy the equation, since |10 - 7| = 3 and |4 - 7| = 3. Therefore, the solution set is 4 and 10, which is the option that lists both numbers.

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