Algebra 1 Discovering expressions, equations and functions Overview Expressions and variables Operations in the right order Composing expressions Composing equations and inequalities Representing functions as rules and graphs. Algebra 1 Exploring real numbers Overview Integers and rational numbers Calculating with real numbers The Distributive property Square roots.
Algebra 1 How to solve linear equations Overview Properties of equalities Fundamentals in solving equations in one or more steps Ratios and proportions and how to solve them Similar figures Calculating with percents. Algebra 1 Visualizing linear functions Overview The coordinate plane Linear equations in the coordinate plane The slope of a linear function The slope-intercept form of a linear equation.
Algebra 1 Formulating linear equations Overview Writing linear equations using the slope-intercept form Writing linear equations using the point-slope form and the standard form Parallel and perpendicular lines Scatter plots and linear models.
Algebra 1 Linear inequalities Overview Solving linear inequalities Solving compound inequalities Solving absolute value equations and inequalities Linear inequalities in two variables About Mathplanet Mattecentrum Matteboken Formelsamlingen Pluggakuten.
If the inequality is greater than a number, we will use OR. If the inequality is less than a number, we will use AND. Remember that if we end up with an absolute value greater than or less than a negative number, there is no solution.
Skip to main content. Module 6: Inequalities. Search for:. How To: Given an absolute value equation, solve it. Isolate the absolute value expression on one side of the equal sign. Show Answer Write the equivalent equations. Solve each equation and check. There is no solution to this equation, or DNE.
Answer No solution. Licenses and Attributions. As we know, the absolute value of a quantity is a positive number or zero.
Consider absolute value as the distance from one point to another point. Regardless of direction, positive or negative, the distance between the two points is represented as a positive number or zero. Where A , and sometimes B , represents an algebraic expression dependent on a variable x. Usually this set will be an interval or the union of two intervals and will include a range of values. There are two basic approaches to solving absolute value inequalities: graphical and algebraic.
The advantage of the graphical approach is we can read the solution by interpreting the graphs of two equations.
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