Inequalities and Fractions

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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, y < 3 means y is less than 3.

Front

How do you solve the inequality: 2x - 4 > 60?

Back

Add 4 to both sides: 2x > 64. Then divide by 2: x > 32.

Front

How do you solve the inequality: 2y < 6?

Back

Divide both sides by 2: y < 3.

Front

What does the solution y < 3 represent on a number line?

Back

It represents all numbers to the left of 3, not including 3.

Front

What is the product of two fractions: ¾ x ⅔?

Back

The product is 6/12, which simplifies to ½.

Front

How do you multiply mixed numbers?

Back

Convert them to improper fractions, multiply, and then simplify if necessary.

Front

Calculate the product: 2 ¾ x 4 3/2.

Back

The product is 121/8.

Front

What is the first step in solving an inequality?

Back

Identify the variable and isolate it on one side of the inequality.