Solving One-Step 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 '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality x + 3 < 7?

Back

Subtract 3 from both sides: x < 4.

Front

What is the solution to the inequality -4 + y < -8?

Back

y < -4.

Front

What does the number line represent in the inequality x < 4?

Back

It shows all numbers less than 4, with an open circle at 4.

Front

How do you graph the inequality x ≥ -4?

Back

Draw a number line, place a closed circle at -4, and shade to the right.

Front

What is the solution to the inequality -5m < 10?

Back

m > -2.

Front

What does the inequality x - 3 > -3 mean?

Back

It means x is greater than 0.

Front

How do you solve the inequality 2x + 4 ≤ 12?

Back

Subtract 4 from both sides: 2x ≤ 8, then divide by 2: x ≤ 4.