A.3(D) Algebra STAAR Flashcard 2 Graph Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > 2?

Back

To graph y > 2, draw a dashed horizontal line at y = 2 and shade the area above the line.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.

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 find the slope from an inequality like y ≥ 1/3x + 4?

Back

The slope is the coefficient of x, which is 1/3 in this case.

Front

What does it mean for a graph to be dashed or solid?

Back

A dashed line indicates that points on the line are not included in the solution set, while a solid line indicates that points on the line are included.

Front

How do you graph the inequality 3y - 9 ≤ 6x?

Back

First, rewrite it in slope-intercept form (y ≤ 2x + 3), then graph the line y = 2x + 3 as solid and shade below it.

Front

What is the y-intercept of the line y = 1/3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.