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 it mean to 'flip' the inequality symbol?

Back

Flipping the inequality symbol occurs when you multiply or divide both sides of an inequality by a negative number.

Front

How do you solve the inequality m - 9 ≤ 20?

Back

Add 9 to both sides to get m ≤ 29.

Front

What is the solution to the inequality -8x < 48?

Back

x > -6, because dividing both sides by -8 flips the inequality.

Front

What does the inequality 32 ≥ -16p mean?

Back

It means that -16 times p is less than or equal to 32.

Front

How do you isolate p in the inequality 32 ≥ -16p?

Back

Divide both sides by -16 and flip the inequality to get p ≥ -2.

Front

What is the graph of the inequality 11 ≤ a?

Back

The graph includes all numbers greater than or equal to 11, represented with a closed dot at 11 and shading to the right.

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the number, while ≤ means 'less than or equal to' and includes the number.

Front

What is the solution set for the inequality x + 3 > 5?

Back

x > 2, because subtracting 3 from both sides gives x > 2.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open dot for < or > and a closed dot for ≤ or ≥, then shade the appropriate direction.