Exit Ticket: Linear Inequalities Day 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 (e.g., <, >, ≤, ≥).

Front

What does the solution set of a linear inequality represent?

Back

The solution set of a linear inequality represents all the points (x, y) that satisfy the inequality.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Front

How do you graph the inequality y < 2x + 3?

Back

1. Graph the line y = 2x + 3 with a dashed line. 2. Shade the area below the line to represent y values less than 2x + 3.

Front

What does it mean if a point is on the boundary line of a linear inequality?

Back

If a point is on the boundary line, it may or may not be part of the solution set, depending on whether the inequality is strict or inclusive.

Front

How do you determine if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is the significance of the y-intercept in a linear inequality?

Back

The y-intercept is the point where the line crosses the y-axis and helps in graphing the inequality.

Front

What does the inequality symbol '≤' indicate?

Back

The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

Front

What does the inequality symbol '>' indicate?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

How can you tell if a point is a solution to the inequality y ≤ 2/5x + 1?

Back

Substitute the x-coordinate of the point into the inequality. If the resulting y-value is less than or equal to the calculated value, then the point is a solution.