![]() (Remember to switch the direction of the inequality when dividing by a negative)įigure 3. Solve and graph the answer: 2|1 – x| + 1 ≥ 3. Be sure to reverse the direction of the inequality when comparing it with –1.įigure 2. or one of the four absolute values before pressing the calculate button It. Solve and graph the answer: 3| x| – 2 ≤ 1.Ĭompare the contents of the absolute value portion to both 1 and –1. Calculate the gas pressure (in cm - Hg) in the three examples shown below if. Be sure to reverse the direction of the inequality when comparing it with –2.įigure 1. Notice that the absolute value expression is already isolated.Ĭompare the contents of the absolute value portion to both 2 and –2. Solve and graph the answer: | x – 1| > 2. When creating the comparisons to both the + and – of the other side of the inequality, reverse the direction of the inequality when comparing with the negative. To solve an inequality containing absolute value, begin with the same steps as for solving equations with absolute value. Solving inequalities containing absolute value and graphing Set the contents of the absolute value portion equal to +4 and –4. The absolute value of is thus always either a positive number or zero, but never negative.When itself is negative (<), then its absolute value is necessarily positive ( >).Set the contents of the absolute value portion equal to +3 and –3. The larger the value is, the steeper the line. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Generally, a lines steepness is measured by the absolute value of its slope, m. To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Solving Equations Containing Absolute Value ![]()
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