What is the solution to the equation
2x + 1  3 = 6 A.) x = 1 or 2 B.) x = 2 or 2 C.) x = 2 or 4 D.) x = 5 or 4
First, isolate the absolute value to one side of the equation, while getting everything else to the other side.
2x + 1  3 = 6 2x + 1 = 9 {added 3 to each side} Absolute value means “distance from zero”. If the absolute value of 2x + 1 = 9, then that means (2x + 1) is 9 away from zero. There are two numbers that are 9 away from zero......9 and 9. Therefore, 2x + 1 could be equal to 9 or 9. 2x + 1 = 9 2x + 1 = 9 or 2x + 1 = 9 {set (2x + 1) equal to 9 and 9} 2x = 8 or 2x = 10 {subtracted 1 from each side of each equation} x = 4 or x = 5 {divided each side of each equation by 2} D.) x = 5 or 4 Ask Algebra House Comments are closed.

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