A1H Review Unit 10

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 (like <, >, ≤, or ≥).

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.

Front

What is the standard form of a linear inequality?

Back

The standard form of a linear inequality is typically written as Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are constants.

Front

What does the inequality 'y < mx + b' represent?

Back

The inequality 'y < mx + b' represents all the points below the line y = mx + b on a graph.

Front

What does the inequality 'y ≥ mx + b' represent?

Back

The inequality 'y ≥ mx + b' represents all the points on or above the line y = mx + b on a graph.

Front

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

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.

Front

What is the meaning of the ordered pair (x, y) in the context of inequalities?

Back

The ordered pair (x, y) represents a specific point on the coordinate plane, where x is the horizontal position and y is the vertical position.

Front

What is the significance of the budget constraint in a linear inequality problem?

Back

The budget constraint represents the maximum amount that can be spent, forming a boundary for the feasible solutions in a linear inequality.