Solving and Graphing 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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

How do you solve the inequality x + 3 < 7?

Back

Subtract 3 from both sides: x < 4.

Front

What does it mean to graph an inequality?

Back

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

Front

How do you represent the inequality c < 6 on a number line?

Back

Draw a number line, place an open circle on 6, and shade to the left.

Front

What does shading to the left indicate when graphing an inequality?

Back

Shading to the left indicates that the solutions are less than the number.

Front

How do you solve the inequality 2x > 10?

Back

Divide both sides by 2: x > 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

How do you solve the inequality -3x ≤ 9?

Back

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