Solving Inequalities with Two Variables

Which test point determines the shading for the inequality '2x - 5y ≥ -10'?

• (-5, 0)

• (0, 2)

• (0, 0)

• (1, 1)

Which inequality describes all points in the upper half-plane above the x-axis?

• y > 0

• y < 0

• x < 0

• x > 0

For the inequality 'y ≤ (x - 1)^2 + 2', where should the shading be?

• Below the parabola

• No shading required

• Entire plane

• Above the parabola

What is the boundary condition for the inequality 'y > x^3 - 1'?

• Solid cubic curve

• Dashed cubic curve

• Dashed linear line

• Solid linear line

Any ordered pair that satisfies all the inequalities in a linear system. The shaded region in a coordinate plane consisting of ordered pairs whose coordinates are solutions to both inequalities in the system.

• Linear system

• Solution of a system of linear inequalities

• Graph of a system of linear inequalities in two variables

• Inequality

A mathematical sentence that contains <, >, ≤, ≥, or ≠.

• Union

• Intersection

• Inequality

• Monomial

An inequality in forms Ax+By>C, Ax+By>C, Ax+By<C or Ax+By<C - and A, B, and C are constants.

• linear inequality

• inconsistent equation

• linear system

• boundary line

Consists of two or more linear inequalities with the same variables.

• system of linear inequalities

• linear system

• coincident lines

• solution region

Represents ALL solutions of a system; part of the coordinate plane; ordered pairs in this area are solutions to the inequalities in the system.

• boundary line

• parallel line

• consistent systems

• solution region

An ordered pair (x,y) that makes the inequality TRUE

• independent system

• solution region

• solution to linear inequality

• substitution solution