Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

How do you represent the inequality 'x > -2' on a number line?

Back

You use an open circle at -2 and shade to the right, indicating that -2 is not included.

Front

How do you represent the inequality 'x < 3' on a number line?

Back

You use a closed circle at 3 and shade to the left, indicating that 3 is included.

Front

What is the solution to the inequality -2x + 3 < 7?

Back

x > -2.

Front

What is the first step to solve the inequality 0.85x + 375 > 450?

Back

Subtract 375 from both sides to isolate the term with x.

Front

What is the final inequality representing the limo driver's earnings?

Back

0.85x + 375 > 450.

Front

When graphing the inequality 'x < 5', do you use an open or closed circle?

Back

You use a closed circle at 5.

Front

When graphing the inequality 'x > 4', do you use an open or closed circle?

Back

You use an open circle at 4.