If the x + 1 = 6, what are the possible values for x? A.) 5 and 7 B.) 1 and 1 C.) 5 and 7 D.) 5 and 5 E.) 5 and 7 For a more basic example: If x = 3, then x could equal 3 or 3, because the absolute value of 3 is 3, and the absolute value of 3 is also 3 x + 1 = 6 x + 1 = 6 or x + 1 = 6 {set the value of the expression inside the absolute value symbols equal to 6 and 6} x = 5 or x = 7 {subtracted 1 from each side in both equations} C.) 5 and 7 are the possible values for x Also if you take the original equation, x + 1 = 6, and subtract 6 from each side x + 1  6 = 0 {subtracted 6 from each side} then graph the function, f(x) = x + 1  6, you can see that when the value of y {or f(x)} is equal to 0 {also known as the xintercept} the value of x is, in fact, equal to 7 and 5, meaning the graph crosses the xaxis at 7 and 5  Algebra House
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