Alg 1 ch. 5 rev

Front

What is an inequality?

Back

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

Front

What does it mean if an inequality has a dotted line when graphed?

Back

A dotted line indicates that the points on the line are not included in the solution set, meaning the inequality is strict (using < or >).

Front

What does it mean if an inequality has a solid line when graphed?

Back

A solid line indicates that the points on the line are included in the solution set, meaning the inequality is non-strict (using ≤ or ≥).

Front

How do you solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

Back

Front

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

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<=' indicate in an inequality?

Back

The symbol '<=' indicates that the value on the left is less than or equal to the value on the right.

Front

Back

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.