Solving and Graphing Inequalities

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

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

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

To solve for t, subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

What does the phrase 'No More Than' indicate in an inequality?

Back

The phrase 'No More Than' indicates that the value is less than or equal to a certain number, represented by the symbol '≤'.

Front

How do you interpret the inequality x > 50?

Back

The inequality x > 50 means that x can take any value greater than 50.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

To solve for x, subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality sign) to find x ≥ -10.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 6 - 2h > 30?

Back

To solve for h, subtract 6 from both sides to get -2h > 24, then divide by -2 (remember to flip the inequality sign) to find h < -12.

Front

What is the difference between '≥' and '>'?

Back

The symbol '≥' means 'greater than or equal to', while '>' means 'greater than' only.

Front

What is the first step in solving an inequality?

Back

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