Checking solutions of two-variable linear inequalities

The Checking solutions of two-variable linear inequalities exercise appears under the Algebra I Math Mission. This practices checking whether an ordered pair is a solution of a two-variable linear inequality, both graphically and algebraically.

Types of problems

There is one type of problem in this exercise:

Find which ordered pair is a solution to the inequality.

1. Which of the ordered pairs ___ and ___ is a solution of the inequality represented by the graph below?: This problem asks the user to find which ordered pair(s) are a solution to the inequality of the graph below.

Strategies

Basic knowledge of linear inequalities are required for this exercise.

1. User can graphically check whether a pair of values ${(x,y)}$ is a solution of an inequality by checking whether the point with the coordinates (${(x,y)}$ lies in the shaded area of the graph representing the inequality.

Real-life Applications

1. For most people, in order to get their license they have to be older than 16. So, they can write this as an inequality. ${x}$ is the age of a person who wants to drive. In this case ${x}$ has to be ${>}$ or equal to 16.