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A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥. It represents a range of values for which the linear expression holds true, often depicted graphically as a shaded region on one side of a line in a coordinate plane. Unlike linear equations, which have exact solutions, linear inequalities define a set of possible solutions. For example, the inequality (2x + 3 < 7) indicates that any value of (x) that satisfies this condition is part of the solution set.
What else can I help you with?
What do you mean by the term linear?
Linear means that the largest power(index) in the expression, equation, inequality etc, =1
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
What is a simple linear inequality?
1 + 1 = 3
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
How many solutions does a linear inequality with two variables have?
Infinite.
What is the graph of a linear inequality in two variables called?
A bivariate linear inequality.
What do you mean by the term linear?
Linear means that the largest power(index) in the expression, equation, inequality etc, =1
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
Can linear equations and linear inequality be solved the same way?
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
What is the steps of the linear inequality x-2?
x - 2 is an expression, not an inequality.
How do I write a system of linear inequalities?
Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like
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.
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
When graphing a linear inequality the first step is to replace the inequality symbol with what sign?
With the equal sign (=).
What is a simple linear inequality?
1 + 1 = 3
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
