Chapter 5 (Inequalities) Review

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

'≥' 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

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

To solve, add 3 to both sides: 10 + 3 ≥ x, which simplifies to x ≤ 13.

Front

Which point is NOT a solution of the inequality 5 - 2x ≥ -3?

Back

The point 5 is NOT a solution because substituting x = 5 gives -5 ≥ -3, which is false.

Front

What is the solution set of the inequality 20 ≤ x ≤ 50?

Back

The solution set includes all values of x that are greater than or equal to 20 and less than or equal to 50.

Front

How can you represent a maximum speed limit of 50 mph and a minimum speed limit of 20 mph in inequality form?

Back

The inequality is represented as 20 ≤ x ≤ 50.

Front

What does it mean if a point is NOT part of the solution set of an inequality?

Back

It means that when the coordinates of that point are substituted into the inequality, the statement is false.

Front

If x > 7, what can you say about the value of x?

Back

The value of x is any number greater than 7.

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality shows a number line with an open or closed circle at the boundary point, indicating whether the endpoint is included or not.