Last 6 on Equations and Inequalities Study Guide

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal (uses =), while an inequality shows that one expression is greater or less than another (uses <, >, ≤, or ≥).

Front

How would you write an inequality for 'x is less than 3'?

Back

x < 3

Front

How would you write an inequality for 'x is greater than or equal to 6'?

Back

x ≥ 6

Front

If Melanie earned more than $15 in each of her babysitting jobs, how would you represent this with an inequality?

Back

m > 15, where m represents the amount earned per job.

Front

What does the inequality x < 3 represent on a number line?

Back

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

Front

What does the inequality x > 3 represent on a number line?

Back

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

Front

If x ≤ 4, what values can x take?

Back

x can take any value less than or equal to 4.