Solve and graph 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'. For example, x < 3 means x is less than 3.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you solve the inequality 3x - 7 < 2?

Back

Add 7 to both sides: 3x < 9. Then divide by 3: x < 3.

Front

What is the solution to the inequality s - 10 ≤ 1?

Back

Add 10 to both sides: s ≤ 11.

Front

How do you graph the inequality x ≥ 4?

Back

Draw a number line, place a closed dot on 4, and shade to the right.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.

Front

How do you solve the inequality w/-2 ≥ 4?

Back

Multiply both sides by -2 (remember to flip the inequality): w ≤ -8.