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 < 5 means x is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

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 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

How do you graph the inequality b ≤ -2?

Back

Draw a number line, place a closed circle on -2, and shade to the left.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

Solve the equation 3x + 7 = -8.

Back

Subtract 7 from both sides: 3x = -15. Then divide by 3: x = -5.

Front

What is the solution to the inequality z ≤ 9?

Back

The solution is all values of z that are less than or equal to 9.