HW 2.6 Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality n > 10 or n < -6?

Back

The solution includes all values of n that are either greater than 10 or less than -6.

Front

What is the solution to the inequality |x - 2| > 3?

Back

The solution is x < -1 or x > 5.

Front

What does it mean when an inequality has 'or' in the solution?

Back

It means that any value that satisfies either part of the inequality is a solution.

Front

What does it mean when an inequality has 'and' in the solution?

Back

It means that only values that satisfy both parts of the inequality are solutions.

Front

Solve the inequality x - 2 < -8 or x/8 > 1.

Back

The solution is x < -6 or x > 8.

Front

What is the solution to the inequality 3 |2t - 3| - 5 > 16?

Back

The solution is t < -2 or t > 5.

Front

If Ms. Steadman saves $9 each week, how many weeks will it take to save $72?

Back

It will take 8 weeks.