One-Step Inequalities

Front

What is an inequality?

Back

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

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 24 ≤ h + 15?

Back

Subtract 15 from both sides: 24 - 15 ≤ h, which simplifies to 9 ≤ h or h ≥ 9.

Front

What is the solution to the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -15 + 13, which simplifies to y ≤ -2.

Front

How do you graph the solution of an inequality?

Back

To graph an inequality, use a number line. For '≤' or '≥', use a closed dot; for '<' or '>', use an open dot.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides: n ≥ 50 - 30, which simplifies to n ≥ 20.

Front

How do you solve the inequality -11x > 99?

Back

Divide both sides by -11 (remember to flip the inequality): x < -9.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What does it mean to 'flip' the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.