Solving 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 + k ≤ 10?

Back

Add 24 to both sides: k ≤ 34.

Front

What is the solution to the inequality -8x < 24?

Back

Divide both sides by -8 (remember to flip the inequality): x > -3.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

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

Back

Add 4 to both sides: y < -4.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line.

Front

How do you represent 'x < 3' on a number line?

Back

Draw an open circle at 3 and shade to the left.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3).