Friday, July 27, 2012
How to find the solutions of inequalities of first degree with two unknowns?
Find the solution of an inequality with one unknown, is to apply arithmetic operations to reduce the inequality of the form "variable compared with a number" is represented on the real line and is the set of values (numbers) that satisfy the reduced inequality. (Type inequality solutions)
Now you want to find a solution to inequalities with two unknowns, this is interpreted that the solution will not be numbers but ordered pairs (a, b) which represent points in a real plane, instead of numbers on the real line.
The inequalities may represent loci as lines, parabolas, circles, hyperbolas, among others. You can find the solution to put an inequality that represents a straight line in this case the line is plotted on the Cartesian plane, the line will divide the plane into two, you select a point on the plane and evaluating the inequality, the semi- plane solution is the one where assessed a point satisfies the inequality.
If there are any two lines, where the solution will intersect the two half-planes, if a line and a parabola is the same procedure, the graphics, which takes place half-plane and satisfies the inequality where they intersect is the solution system.
When you select a plot point that you can evaluate in both equations, if satisfies both, you can mark the area as a response of the system of inequalities with two unknowns. 'It is always advisable if you are in the classroom, pay attention to the procedure and the most important point mentioned by the teacher and that time is not possible or simply make comments to students' responses. Grid sheets or recommend a good distribution of the scale, the better the best graphic display.
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