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There are an infinite number of points that qualify. Please tell us

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Q: Which point is a solution of the inequality 1 over 2x minus 4y less than or equal to 4?
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On a graphed inequality is a point that is on the line part of the solution?

It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.


How is the solution in a system of inequalities determine?

An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.


How does solving linear inequalities differ from solving linear equations?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. Example 1. The equation: x - 3 = 7 has one solution, that is x = 10. Example 2. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of values of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. Example 3. The linear inequality x + 5 < 9 has as solution: x < 4. The solution set of this inequality is the interval (-infinity, 4) Example 4. The inequality 4x - 3 > 5 has as solution x > 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. Example: The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. Example: The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. Example : The half-closed interval [3, +infinity) ; the end point 3 is included.


How is graphing a two variable inequality similar to graphing a one variable inequality?

One variable inequality- graph the point on the number line then choose a point on the point, to the left and to the right to see what gets shaded. Two variable inequality- graph the line on grid paper then choose a point on the line, to the left and to the right to see what gets shaded.


When you graph inequalities how do you know what to shade?

Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.

Related questions

On a graphed inequality is a point that is on the line part of the solution?

It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.


Is it possible for the graph of an inequality to consist of only one number?

No it is not if you have a single inequality. It you had a single point as the solution, then it effect you would have an equality. If you have x> or equal to 1 and x< or equal to 1 then the graph is the single point 1. So it is possible with systems of inequalities.


How does the solution to an inequality differ from the solution to an equation?

The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.


How do you know if a specific point is a solution to an inequality?

substitute the numbers into the inequality and see if it is true. EX: x > y+ 3 for the point (1, 6) .... 1 > 6 + 3 is not true so this point is not a solution.


What is the solution of a linear inequality called?

It can be a ray if it does not include the end point or a half line if it includes the end point.


How is the solution in a system of inequalities determine?

An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.


Is -9 equal to 9?

No. If they were equal, then there would be no point in having the minus sign!


Which point is part of the solution of the inequality y-x 4 1?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "less than", "less than or equal to" etc.


How does solving linear inequality differ from solving linear equation?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. The equation: x - 3 = 7 has one solution, that is x = 10. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of value of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. The linear inequality x + 5 < 9 has as solution: x < 4. The solution set of this inequality is the interval (-infinity, 4) The inequality 4x - 3 > 5 has as solution x > 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. The half-closed interval [3, +infinity) ; the end point 3 is included.


Y is equal or greater than 3x what are the point to this inequality?

the answer is y u dont kno


Which point is NOT part of the solution of the inequality y 3x 1?

The inadequacies of the browser which is used to post questions on this site means that we cannot see the inequality sign. It is, therefore, not possible to give an answer to the question.


What is the difference between inpuality and equation?

I assume you mean "inequality". An equation has an equal sign; an inequality has one of the inequality signs instead of an equal sign. These signs are: * Greater than * Greater than or equal * Less than * Less than or equal To solve an inequality, the main point to consider is that if you multiply or divide both sides by a negative number, you must invert the inequality sign. For example, if you multiply both sides by (-2), a greater-than sign would need to be changed to a less-than sign.