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Example= |-3|+ 5x= 18
3+ 5x=18 replace the absolute value of a negative with a positive
crossout- -3 -3
subtract 3 on both sides because the 3 is positive
5x=15 but take out the 3 on the left and carry out the subtraction
/5 /5 on the right
x=3 Because you are multiplying x by five, divide on both sides
and 15/5=3 so x=3
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How do you solve absolute-value equations and inequalites?
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
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What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
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Fractions make no difference to absolute values.
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To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
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A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
