Inequality Word Problems

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'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you represent 'a number is at least 10' in inequality form?

Back

x ≥ 10.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

x < 4.

Front

How do you graph the inequality x > 5 on a number line?

Back

Draw an open circle at 5 and shade to the right.

Front

What does it mean to solve a word problem involving inequalities?

Back

It means to translate the words into an inequality and then solve for the variable.

Front

In the context of word problems, what does 'at least' indicate?

Back

'At least' indicates a minimum value, represented by a 'greater than or equal to' inequality.

Front

How do you write an inequality for 'the total cost must be less than $50'?

Back

Let x be the total cost, then x < 50.