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Q: Define solution of a linear inequality in two variable?

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5

It is a linear inequality.

The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.

Related questions

Inequalities tend to have infinitely many solutions.

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.

Hi

5

It is a linear inequality.

2x+3y

graph the inequality 5x+2y<4

Linear inequalities in one variable

It is a linear inequality in one variable, a.

In a linear inequality the variable is only present raised to the first power (which is usually not explicitly shown). In a quadratic the square of the variable is present (or implied). The square can be implied in an inequality such as x + 1/x < 6 (x not 0) This is equivalent to x2 - 6x + 1 < 0

1

Infinitely many. The solution space is part of a plane.

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