Inequalities and Fractions

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, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

How do you represent '5 less than twice a number is greater than 15' as an inequality?

Back

2x - 5 > 15.

Front

What is the product of 5 ½ and 6 ⅔?

Back

220/6 = 110/3.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor.

Front

What is 1 ⅔ divided by 2 ¾?

Back

20/33.

Front

What is the result of ¾ divided by ½?

Back

3/2.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 3x - 4 < 8?

Back

Add 4 to both sides to get 3x < 12, then divide by 3 to find x < 4.