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How is graphing a linear inequality different than graphing a linear equation?
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
How is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
What is the different between equation and inequality?
An equation is a mathematical that asserts theequality of two expressions. An inequality is a relation that holds between two values when they are different.
What do you mean by the term linear?
Linear means that the largest power(index) in the expression, equation, inequality etc, =1
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.
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
How is graphing a linear inequality different than graphing a linear equation?
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
Define solution of a linear inequality in two variable?
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
What is the equation for a linear inequality?
A linear inequalty may be of the form a1x1 + a2x2 + ... + anxn < bwhere the ai and b are constants and the xi are variables. The inequality symbol can be <, >, ≤ or ≥.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
How is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
What is the different between equation and inequality?
An equation is a mathematical that asserts theequality of two expressions. An inequality is a relation that holds between two values when they are different.
How are quadratic inequalities different from linear inequalities?
A linear inequality is all of one side of a plane. A quadratic inequality is either the inside of a parabola or the outside.
What do you mean by the term linear?
Linear means that the largest power(index) in the expression, equation, inequality etc, =1
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.
How are linear equations and linear inequalities similar?
A linear equation corresponds to a line, and a linear inequality corresponds to a region bounded by a line. Consider the equation y = x-5. This could be graphed as a line going through (0,-5), (1,-4), (2,-3), and so on. The inequality y > x-5 would be the region above that line.
