One and Two Step Inequality Review 12/18

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, 3 < 5 means 3 is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for '<' or '>', and a closed circle for '≤' or '≥'. Draw a line to indicate the range of solutions.

Front

What is the solution to the inequality -8k - 4 ≤ -60?

Back

Add 4 to both sides: -8k ≤ -56. Then divide by -8 (remember to flip the inequality): k ≥ 7.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality, such as x < x.