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What is The picture of an inequality?
A picture of an inequality typically represents a mathematical relationship where one quantity is not equal to another, often illustrated on a number line or a graph. For example, on a number line, an inequality such as (x < 3) would be shown with an open circle at 3 and a shaded line extending to the left, indicating all values less than 3. In a graph, inequalities can create shaded regions, such as in systems of inequalities, where solutions to the inequalities are visually represented. Overall, these visual representations help to clarify the concept of inequality in a more intuitive way.
Every system of inequalities has a solution?
Which system of inequalities has a solution set that is a line?
What does the word compound inequalities mean?
Compound inequalities is when there is two inequality signs. You will regularly graph compound inequalities on a number line.
How will you illustrate the concept of on the number line?
Inequalities
How can you use coordinate graphs to solve linear equations and linear inequalities?
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
Why do you graph inequalities on a number line?
To find the solutions.
What does it mean to find the solutions of system of inequalities?
In 2-dimensional space, an equality could be represented by a line. A set of equalities would be represented by a set of lines. If these lines intersected at a single point, that point would be the solution to the set of equations. With inequalities, instead of a line you get a region - one side of the line representing the corresponding equality (or the other). The line, itself, may be included or excluded. Each inequality can be represented by a region and, if these regions overlap, any point within that sub-region is a solution to the system of inequalities.
When graphing a system of inequalities the line is dotted for the?
strict inequality
Can the solution of a system of linear inequalities be the points on a line?
yes
Which information would best be shown on a line graph?
Rises and falls.
When graphing inequalities which inequality line is solid?
The line that includes whatever variables are included in the equation.
How do graph inequalities on a grid?
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
