One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality z ≤ 9?

Back

To solve z ≤ 9, you identify all values of z that are less than or equal to 9.

Front

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

Back

The solution is x > -6.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solution set on a number line, using an open or closed circle to indicate whether the endpoint is included.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the solution set for the inequality a ≥ -104?

Back

The solution set includes all values of a that are greater than or equal to -104.

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution if there are no values that satisfy the inequality, such as x < x.