Algebra 1 Unit 7 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Front

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

Back

Front

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

Back

Front

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

Back

Front

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

Back

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

What does it mean if a system of inequalities has no solution?

Back

A system of inequalities has no solution if there is no region where the graphs of the inequalities overlap, meaning they do not satisfy any common points.

Front

How do you determine if a point satisfies an inequality?

Back

To determine if a point satisfies an inequality, substitute the x and y values of the point into the inequality. If the inequality holds true, the point satisfies it.

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality is a shaded region on a graph. The boundary line is dashed for < or > and solid for ≤ or ≥.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line and has an equal sign (=), while a linear inequality represents a region and uses inequality symbols (<, >, ≤, ≥).