Solve the given inequality. Write the solution set using interval notation.|x - 4| = 3
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I don't know which inequality symbol is used in your absolute value equation, so I can't help you out with writing the solution to this specific question in interval notation. However, I can give you some general pointers of interval notation.
Interval notation is used to write a range of values that all are possible solutions to an inequality. Typically, the lowest and highest numbers in your range of solutions are written inside a set of brackets or parenthesis. Square bracket symbols [ or ] are used when the lowest or highest number in your range is actually a solution to the inequality (like a closed circle on a number line). Parenthesis ( or ) are used when the lowest or highest number in your range is NOT a solution to the inequality, but every number up to it is (like an open circle on a number line).
Example: -1 ≤x<3
x = -1, 0, 1, 2 are all possible integer solutions.
Interval notation: [-1, 3)
Check out this website for more information: http://www.coolmath.com/algebra/07-solving-inequalities/03-interval-notation-01.htm
since (x - 4) is inside the absolute value, you will have two equations as follows:
x - 4 = 3 ---> x = 7
x - 4 = -3 ---> x = 1
so, x values are 1 and 7