Inequalities Review

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 > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

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

Front

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

Back

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

Front

How do you solve the inequality -22 > 4j - 10?

Back

Add 10 to both sides: -12 > 4j. Then divide by 4: -3 > j or j < -3.

Front

What is the solution to the inequality 15h ≥ 105?

Back

Divide both sides by 15: h ≥ 7. Johnny needs to work at least 7 hours.

Front

How do you graph the inequality s ≥ -2?

Back

Draw a solid dot on -2 and shade to the right to indicate all values greater than or equal to -2.

Front

What is the solution to the inequality 10 < 3x + 19?

Back

Subtract 19 from both sides: -9 < 3x. Then divide by 3: -3 < x or x > -3.

Front

What does it mean if an inequality is represented by a solid line on a graph?

Back

A solid line indicates that the values on the line are included in the solution (≥ or ≤).