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

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

Back

Add 9 to both sides to isolate m: m ≤ 29.

Front

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

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does the inequality 11 ≤ a mean?

Back

It means that a is greater than or equal to 11.

Front

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

Back

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

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

How do you solve the inequality -48 < 12c?

Back

Divide both sides by 12: c > -4.

Front

What does the inequality x < 6 represent?

Back

It represents all numbers less than 6.

Front

How do you graph the inequality 11 > a?

Back

Graph it as a line with an open circle at 11, shading to the left.

Front

What is the solution set for the inequality x ≥ -3?

Back

All numbers greater than or equal to -3.