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What is the purpose of solving inequalities?
Inequalities are critical in prediction of future results. You know an upper limit, but can’t predict where below that upper limit actual results will fall. Using the upper limit as the boundary, and solving the inequality can give you an idea of what may happen, though without certainty.
Why do we graph inequalities on a number line?
We can graph inequalities on a number line to get a better idea of how they’re behaving. Just follow these steps. Find the number on the other side of the inequality sign from the variable (like the 4 in x > 4). Sketch a number line and draw an open circle around that number.
What is the purpose of graphing in math?
Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space.
Why do we need to study linear inequalities?
A system of linear inequalities is often used to determine the best solution to a problem. This solution could be as simple as determining how many of a product should be produced to maximize a profit or as complicated as determining the correct combination of drugs to give a patient.
What is the point of learning about systems of equations and inequalities?
You learned that a system of equations or inequalities means more than one equation or inequality. To solve a system of equations you can graph the system and look for the point of intersection or use one of two algebraic methods (substitution or elimination).
How do you graph inequalities on a graph?
There are three steps:
- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).
Why are graphs important in research?
Graphs and charts condense large amounts of information into easy-to-understand formats that clearly and effectively communicate important points. Bar graphs, line graphs, and pie charts are useful for displaying categorical data. Continuous data are measured on a scale or continuum (such as weight or test scores).
Why is graphing an important tool in the scientific process?
Graphs are a useful tool in science. The visual characteristics of a graph make trends in data easy to see. One of the most valuable uses for graphs is to show data collected during an experiment. The graph shows your results.
What have you learned in solving inequality?
Students learn that when solving an inequality, such as -3x is less than 12, the goal is the same as when solving an equation: to get the variable by itself on one side. Note that when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be switched.
Why is it important to study systems of equations?
Systems of equations are used to solve applications when there is more than one unknown and there is enough information to set up equations in those unknowns. In general, if there are n unknowns, we need enough information to set up n equations in those unknowns.
Why is learning systems of equations important?
Systems of equations are a very useful tool for modeling real-life situations and answering questions about them. If you can translate the application into two linear equations with two variables, then you have a system of equations that you can solve to find the solution.