Algebra Midterm Review #2

Front

What is an inequality in algebra?

Back

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

Front

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable on one side by performing the same operation on both sides of the inequality.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves shading the region that represents all possible solutions, using an open circle for < or > and a closed circle for ≤ or ≥.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the endpoint, while a non-strict inequality (≤ or ≥) includes the endpoint.

Front

How do you check the solution of an inequality?

Back

To check the solution of an inequality, substitute a value from the solution set into the original inequality to see if it holds true.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often connected by 'and' or 'or', representing a range of values.

Front

What does 'solving for x' mean in an inequality?

Back

'Solving for x' means finding the values of x that make the inequality true.

Front

What is the solution set of an inequality?

Back

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

Front

How do you graph a compound inequality with 'and'?

Back

To graph a compound inequality with 'and', find the intersection of the two solution sets and shade that region.

Front

How do you graph a compound inequality with 'or'?

Back

To graph a compound inequality with 'or', find the union of the two solution sets and shade both regions.