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 x + 3 < 10?

Back

Subtract 3 from both sides: x < 7.

Front

What is the solution to the inequality 2x ≥ 8?

Back

Divide both sides by 2: x ≥ 4.

Front

How do you represent 'at least 5' in inequality form?

Back

x ≥ 5.

Front

What is the solution to the inequality -3x < 9?

Back

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

Front

How do you graph the inequality x < 2 on a number line?

Back

Draw an open circle at 2 and shade to the left.

Front

What does the solution set of x > 5 look like on a number line?

Back

An open circle at 5 with shading to the right.

Front

How do you solve the inequality 4 - x ≤ 1?

Back

Subtract 4 from both sides: -x ≤ -3, then multiply by -1 (flip the inequality): x ≥ 3.