Solving Inequalities Review

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality n + ³/₂ > 2?

Back

Subtract ³/₂ from both sides to get n > 1/2.

Front

What is the solution to the inequality 4 - 7y ≤ 18?

Back

The solution is y ≥ -2.

Front

When graphing an inequality, what does a closed dot indicate?

Back

A closed dot indicates that the number is included in the solution (used for ≤ or ≥).

Front

When graphing an inequality, what does an open dot indicate?

Back

An open dot indicates that the number is not included in the solution (used for < or >).

Front

Write an inequality for: Tom has to have at least 15 people to go to his birthday party.

Back

x ≥ 15.

Front

What is the solution to the inequality a ≤ 25?

Back

The solution includes all values of a that are less than or equal to 25.

Front

How do you isolate the variable in the inequality 3x - 5 > 1?

Back

Add 5 to both sides and then divide by 3 to get x > 2.