Graphing Linear Inequalities

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 (>, <, ≥, ≤).

Front

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

Back

The symbol '≥' indicates that the expression on the left is greater than or equal to the expression on the right.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is the point where the line crosses the y-axis, which is 5 in this case.

Front

How do you determine if a line is solid or dashed in graphing inequalities?

Back

A solid line is used when the inequality includes 'equal to' (≥ or ≤), while a dashed line is used when it does not (> or <).

Front

What does shading above the line in a graph of an inequality indicate?

Back

Shading above the line indicates that the solutions to the inequality are greater than the line's equation.

Front

What does shading below the line in a graph of an inequality indicate?

Back

Shading below the line indicates that the solutions to the inequality are less than the line's equation.

Front

How can you tell if an ordered pair satisfies a linear inequality?

Back

Substitute the x and y values of the ordered pair into the inequality. If the inequality holds true, the pair satisfies the inequality.

Front

What is the solution set of a linear inequality?

Back

The solution set is the set of all ordered pairs (x, y) that satisfy the inequality.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Graph the line y = 2x + 3 as a dashed line and shade below it.