Math 6/7 Unit 3 Learning Check: 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 '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality @@rac{k}{2} + 10 ge -2@@?

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 by performing inverse operations.

Front

What does the solution @@k ge -24@@ represent in a real-world context?

Back

It means that the value of k must be at least -24 to satisfy the inequality.

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities are used to express limits, constraints, or conditions that must be met in various scenarios, such as budgeting or resource allocation.

Front

Write the inequality that represents the situation: 30 members need to raise at least $1500, having already raised $600.

Back

The inequality is @@30x + 600 ge 1500@@, where x is the amount each member needs to raise.

Front

What does the graph of an inequality show?

Back

The graph of an inequality shows all the possible solutions that satisfy the inequality, often represented by a shaded region.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the boundary value.

Front

How can you check if a solution to an inequality is correct?

Back

You can check by substituting the solution back into the original inequality to see if it holds true.