Linear Inequalities Test Part 2

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What does the symbol '≥' represent in a linear inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' represent in a linear inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then shade the region that satisfies the inequality.

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all ordered pairs (x, y) that make the inequality true.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation states that two expressions are equal, while a linear inequality states that one expression is greater than, less than, or equal to another.

Front

In the inequality x + 2y ≥ 240, what do x and y represent?

Back

In this inequality, x represents the number of glasses of hot chocolate sold, and y represents the number of glasses of hot apple cider sold.

Front

What does it mean if a system of linear inequalities has no solution?

Back

If a system of linear inequalities has no solution, it means that there is no set of values that satisfies all inequalities simultaneously.

Front

What does it mean if a system of linear inequalities has an infinite number of solutions?

Back

If a system of linear inequalities has an infinite number of solutions, it means that there are countless pairs of values that satisfy all inequalities in the system.

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution to a linear inequality, substitute the x and y values of the point into the inequality and check if the statement is true.