Graphing Linear Inequality

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

The symbol '>' indicates that the values on the left side of the inequality are greater than the values on the right side.

The symbol '≥' indicates that the values on the left side of the inequality are greater than or equal to the values on the right side.

1. Graph the corresponding linear equation as a dashed (for < or >) or solid line (for ≤ or ≥). 2. Shade the region that satisfies the inequality.

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

Choose a test point not on the line (commonly (0,0)). Substitute it into the inequality. If the inequality holds true, shade the side containing the test point.

No, because when substituting (1, 2) into the inequality, it does not satisfy the condition.

The ordered pair (-4, 4) is NOT a solution because it does not satisfy the inequality.

You should shade above the line $$y = -x + 1$$ .

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region.