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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
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 solution to the linear inequality y-3y-4?
1
How do you solve a two variable inequality?
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
What is the graph of a linear inequality in two variables called?
A bivariate linear inequality.
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.
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
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.
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 (=).
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
Graph the solution set of the linear inequality 5x-2y4?
graph the inequality 5x+2y<4
What must occur in a linear inequality when you divide or multiply by a negative number?
The inequality sign must be flipped.
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 ≥.
