Writing Inequalities

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 '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How would you express 'a number is at least 10' in inequality form?

Back

x ≥ 10.

Front

How would you express 'a number is no more than 20' in inequality form?

Back

x ≤ 20.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use '>' or '<' and do not include the boundary value, while non-strict inequalities use '≥' or '≤' and include the boundary value.

Front

If a variable x represents the number of books Mary must read, how would you express 'Mary must read a minimum of 5 books'?

Back

x ≥ 5.

Front

If p represents the number of people at a party, how would you express 'Bill will have, at most, 31 people at his party'?

Back

p ≤ 31.

Front

How would you express '86 is less than or equal to Lyla’s new time on the downhill ski slope'?

Back

t ≥ 86.

Front

If s represents the number of servings a recipe yields, how would you express 'A lemonade recipe will yield, at most, 16 servings'?

Back

s ≤ 16.